An exploration of the versatile nature of enriched contraction mappings: Collage-type theorems and inverse problem applications

Quadrature processes and numerical computation of the two dimensional exponential integrals

The Obreschkoff-Ostrowski's inequalities via Fink type identity

A gradient projection algorithm based on the normal-S iterative algorithm: Convergence analysis and machine learning application

Closed-form formulas of two Gauss hypergeometric functions of specific parameters

Convergence-Equivalent DF and AR Iterations with Refined Data Dependence: Non-Asymptotic Error Bounds and Robustness in Fixed-Point Computations

Exploring the potential of inertial type algorithms in solving coincidence point/value problems: Theoretical analysis and practical applications

Flexible and efficient iterative solutions for general variational inequalities in real Hilbert spaces

Gauss quadrature rules for integrals involving weight functions with variable exponents and an application to weakly singular Volterra integral equations

Nonconforming approximation methods for function reconstruction on general polygonal meshes via orthogonal polynomials

On annuli containing all the zeros of a polynomial with quaternionic coefficients

On Bernstein-type estimates for linear operators acting on polynomials

On spherical shells containing all the zeros of a quaternionic polynomial

Orthogonal polynomials on radial rays in the complex plane: construction, properties and applications

Reconstructing algebraic functions from a nonconforming exponential weighted enriched finite element

Truncated Gegenbauer-Hermite weighted approach for the enrichment of the Crouzeix-Raviart finite element

Zygmund-type integral inequalities for polynomials not vanishing in a disc

Application of gradient optimization methods in defining neural dynamics

A Ramanujan integral and its derivatives: Computation and analysis

Bernstein type inequalities for one class of complex rational functions

Elements of mathematical phenomenology and analogies of electrical and mechanical oscillators of the fractional type with finite number of degrees of freedom of oscillations: linear and nonlinear modes

Gaussian type quadrature rules related to the oscillatory modification of generalized Laguerre weight functions

Novel algorithms based on forward-backward splitting technique: Effective methods for regression and classification

Numerical calculation of the extension of k-beta function and some new extensions by using two parameter k-Mittag-Leffler function

On the inequalities of Zygmund and de Bruijn

On the zeros of polynomials and related regular functions of a quaternionic variable

On zero inclusion regions of polynomials and regular functions of a quaternionic variable

On zeros of the regular power series of a quaternionic variable

Orthogonal polynomials and Gauss quadratures associated with one integral of the Ramanujan type

Simultaneous method for solving certain systems of matrix equations with two unknowns

Accelerated Dai-Liao projection method for solving systems of monotone nonlinear equations with application to image deblurring

A modified Dai-Liao conjugate gradient method based on a scalar matrix approximation of Hessian and its application

Bounds for the (p,v)-extended beta function and certain consequences

Error probability of a coherent M-ary PSK FSO system influenced by phase noise

Extension of Mathieu series and alternating Mathieu series involving Neumann function Yν

On the zero bounds of polynomials and regular functions of a quaternionic variable

Orthogonality on the semicircle: old and new results

Quadrature processes for efficient calculation of the Clausen functions

Specific values of partial Bell polynomials and series expansions for real powers of functions and for composite functions

Summation identities for the Kummer confluent hypergeometric function 1F1(a,b,;z)

Symbolic computation of recurrence coefficients for polynomials orthogonal with respect to the Szegő-Bernstein weights

Teaching computing for complex problems in civil engineering and geosciences using big data and machine learning: synergising four different computing paradigms and four different management domains

A generalization of the array type polynomials

Analysis of generating functions for special words and numbers and algorithms for computation

A note on a further extension of Gauss's second summation theorem with an application to the extension of two well-known combinatorial identities

A solution to exponential operators

Estimates for the polar derivative of a constrained polynomial on a disk

Extremal problems of Bernstein-type and an operator preserving inequalities between polynomials

Hypergeometric representations of Gelfond's constant and its generalisations

Inequalities of Turán-type for algebraic polynomials

On Gautschi's conjecture on subrange Jacobi polynomials

On sharpening and generalization of Rivlin's inequality

On the Erdős-Lax and Turán inequalities concerning polynomials

On the Markov extremal problem in the L2-norm with the classical weight functions

On the zeros of a quaternionic polynomial with restricted coefficients

Orthogonal polynomials and generalized Gauss-Rys quadrature formulae

Orthogonal polynomials concerning to the Abel and Lindelöf weights and their modifications on the real line

Orthogonal polynomials relative to weight functions of Prudnikov type

Some modifications of the Chebyshev measures and the corresponding orthogonal polynomials

Variational inequality problem involving multivalued nonexpansive mapping in CAT(0) spaces

Weighted nonstandard quadrature formulas based on values of linear differential operators

Zeros of one class of quaternionic polynomials

Accelerated multiple step size methods for solving unconstrained optimization problems

Comparison inequalities between rational functions with prescribed poles

Estimates for the maximal modulus of rational functions with prescribed poles

Four unified results for reducibility of Srivastava's triple hypergeometric series H_B

Generalization of a quadratic transformation due to Exton

Generalized summation formulas for the Kampé de Fériet function

Inequalities for the maximum modulus of univariate constrained polynomials

Iterative approximation of fixed points and applications to two-point second-order boundary value problems and to machine learning

Multi-parameter Mathieu, and alternating Mathieu series

On the zeros of lacunary-type polynomials

Orthogonal polynomials relative to a generalized Marchenko-Pastur probability measure

Ostrowski type inequalities and some selected quadrature formulae

Some orthogonal polynomials on the finite interval and Gaussian quadrature rules for fractional Riemann-Liouville integrals

Stochastic time response and ultimate noise performance of adsorption-based microfluidic biosensors

Summation of slowly convergent series by the Gaussian type of quadratures and application to the calculation of the values of the Riemann zeta function

The roots of polynomials and the operator Δi3 on the Hahn sequence space h

A method for efficient computation of integrals with oscillatory and singular integrand

A note on sharpening of the Erdõs-Lax inequality concerning polynomials

Certain estimates of Turán's-type for the maximum modulus of the polar derivative of a polynomial

Double-sided inequalities of Ostrowski's type and some applications

Generalizations of a formula due to Kummer with applications

Generalizations of Zygmund-type integral inequalities for the polar derivative of a complex polynomial

Generalized hypergeometric identities with extra parameters

On the Erdős-Lax inequality concerning polynomials

Properties of some of two-variable orthogonal polynomials

A class of polynomials and connections with Bernoulli's numbers

A generalization of divided differences and applications

A new proof of a reduction formula for the Appell series F3 due to Bailey

A note on extraction of orthogonal polynomials from generating function for reciprocal of odd numbers

A note on sums of a class of series

A note on two results contiguous to a quadratic transformation due to Gauss with applications

Evaluation of a new class of Eulerian's type integrals involving generalized hypergeometric functions

On a quadratic transformation due to Exton and its generalization

Quadrature formulas of Gaussian type for fast summation of trigonometric series

Quadratures with multiple nodes for Fourier-Chebyshev coefficients

Quadrature with multiple nodes, power orthogonality, and moment-preserving spline approximation, Part II

Special cases of orthogonal polynomials on the semicircle and applications in numerical analysis

An efficient computation of parameters in the Rys quadrature formula

An extension of Pochhammer's symbol and its application to hypergeometric functions, II

A study of generalized summation theorems for the series 2F1 with an applications to Laplace transforms of convolution type integrals involving Kummer's functions 1F1

Binet-type polynomials and their zeros

Calculation of the channel discharge function for the generalized lightning traveling current source return stroke model

Certain Laplace transforms of convolution type integrals involving product of two special pFp functions

Efficient numerical methods for analysis of square ratio of κ – μ and η – μ random processes with their applications in telecommunications

Modified Stancu type Dunkl generalization of Szász-Kantorovich operator

On weighted Adams-Bashforth rules

Polynomial approximation with Pollaczeck-Laguerre weights on the real semiaxis. A survey

(p,q)-Beta functions and applications in approximation

Recurrence relation and differential equation for a class of orthogonal polynomials

Remarks on "Application of mixed quadrature rule on electromagnetic field problems"

Truncation error analysis in computing of SEP and SEP floor for partially coherent receiver of MPSK signals over composite fading channels

An extension of Pochhammer's symbol and its application to hypergeometric functions

A Nyström method for a class of Fredholm integral equations on the real semiaxis

Computing integrals of highly oscillatory special functions using complex integration methods and Gaussian quadratures

Construction of Gaussian quadrature formulas for even weight functions

Generalized weighted Birkhoff-Young quadratures with the maximal degree of exactness

Generating functions for special polynomials and numbers including Apostol-type and Humbert-type polynomials

Optimal quadrature formulas for Fourier coefficients in W_2^{(m,m-1)} space

Performance of SIM-MDPSK FSO systems with hardware imperfections

Some notes on weak subdifferential

Symbolic-numeric computation of orthogonal polynomials and Gaussian quadratures with respect to the cardinal B-spline

A generalized Birkhoff-Young quadrature formula

Distributional properties and parameters estimation of GSB Process: An approach based on characteristic functions

Efficient method for the computation of oscillatory Bessel transform and Bessel Hilbert transform

Generalized Gaussian quadratures for integrals with logarithmic singularity

On summation/integration methods for slowly convergent series

Orthogonal polynomials for modified Chebyshev measure of the first kind

Signal-to-noise ratio in adsorption-based microfluidic bio/chemical sensors

The Split-SV model

Weighted Hermite quadrature rules

A fractional integral operator involving the Mittag-Leffler type function with four parameters

A reliability based approach to non-reparable spare part forecasting in aircraft maintenance system

A transformation of accelerated double step size method for unconstrained optimization

Construction and applications of Gaussian quadratures with nonclassical and exotic weight function

Efficient computation of highly oscillatory integrals with Hankel kernel

Generalized quadrature rules of Gaussian type for numerical evaluation of singular integrals

Optimal quadratures in the sense of Sard in a Hilbert space

Positive solution of a certain class of operator equations

Weighted quadrature formulas for semi-infinite range integrals

An application of the ECF method and numerical integration in estimation of the stochastic volatility models

Gaussian quadrature rules with an exponential weight on the real semiaxis

Interpolation splines minimizing a semi-norm

Kronrod extensions with multiple nodes of quadrature formulas for Fourier coefficients

Methods for computation of slowly convergent series and finite sums based on Gauss-Christoffel quadratures

Nonstandard Gauss-Lobatto quadrature approximation to fractional derivatives

On a connection between some trigonometric quadrature rules and Gauss-Radau formulas with respect to the Chebyshev weight

On certain Gauss type quadrature rules

Optimal quadrature formula in the sense of Sard in K2(P3) space

Some results on the extended beta and extended hypergeometric functions

Trigonometric multiple orthogonal polynomials of semi-integer degree and the corresponding quadrature formulas

A note on an error bound of Gauss-Turán quadrature with the Chebyshev weight

Closed expressions for coefficients in weighted Newton-Cotes quadratures

Explicit formulas and combinatorial identities for generalized Stirling numbers

Families of Euler-Maclaurin formulae for composite Gauss-Legendre and Lobatto quadratures

New integral forms of generalized Mathieu series and related applications

Nyström method for Fredholm integral equations of the second kind in two variables on a triangle

Properties of Boubaker polynomials and an application to Love's integral equation

Quadrature processes and new applications

Some properties of a hypergeometric function which appear in an approximation problem

Statistics for ratios of Rayleigh, Rician, Nakagami–m, and Weibull distributed random variables

Upgraded Petri net model and analysis of adaptive and static arithmetic coding

A trigonometric orthogonality with respect to a nonnegative Borel measure

Gaussian interval quadrature rule for exponential weights

Generalized quadrature formulae for analytic functions

On an interpolation process of Lagrange-Hermite type

Special classes of orthogonal polynomials and corresponding quadratures of Gaussian type

A generalized Birkhoff-Young-Chebyshev quadrature formula for analytic functions

Calculating a class of integrals encountered in theoretical chemistry

Explicit forms of weighted quadrature rules with geometric nodes

Gaussian quadrature rules using function derivatives

Moment functional and orthogonal trigonometric polynomials of semi-integer degree

Numerical quadratures and orthogonal polynomials

On an optimal quadrature formula in the sense of Sard

On Drazin inverse of operator matrices

Rational algorithm for quadratic Christoffel modification and applications to the constrained L2-approximation

Statistical analysis of the square ratio of two multivariate exponentially correlated α-μ distributions and its application in telecommunications

Summation processes and Gaussian quadratures

Bounds of the error of Gauss-Turán-type quadratures, II

Calculation of the coefficients of a cardinal B-spline

Nonstandard Gaussian quadrature formulae based on operator values

D.S. Mitrinović – An eminent mathematician and a master of inequalities

Error estimates for Gaussian quadratures of analytic functions

Error estimates for Gauss-Turán quadratures and their Kronrod extensions

Numerical integration with complex Jacobi weight function

Orthogonal polynomials for modified Gegenbauer weight and corresponding quadratures

Quadrature formulae with multiple nodes and a maximal trigonometric degree of exactness

Some numerical methods for second kind Fredholm integral equation on the real semiaxis

Well-conditioned matrices for numerical treatment of Fredholm integral equations of the second kind

Christoffel-Darboux formula for orthogonal trigonometric polynomials of semi-integer degree

Explicit formulas for five-term recurrence coefficients of orthogonal trigonometric polynomials of semi-integer degree

Maximum of the modulus of kernels in Gauss-Turán quadratures

On the remainder term of Gauss-Radau quadratures for analytic functions

Orthogonal polynomials for the oscillatory-Gegenbauer weight

Positive definite solutions of some matrix equations

Quadrature processes – development and new directions

Trigonometric orthogonal systems and quadrature formulae

A note on the bounds of the error of Gauss-Turán-type quadratures

A note on three-step iterative methods for nonlinear equations

A special Gaussian rule for trigonometric polynomials

Connection of semi-integer trigonometric orthogonal polynomials with Szegő polynomials

Error bounds of some Gauss-Turán-Kronrod quadratures with Gori-Micchelli weights for analytic functions

Gauss-Hermite interval quadrature rule

Gaussian quadratures for oscillatory integrands

Linearizablity conditions for a cubic system

Logarithmic modification of the Jacobi weight function

Monotonicity of the error term in Gauss-Turán quadratures for analytic functions

Polynomial approximation on unbounded intervals by Fourier sums

Trigonometric orthogonal systems and quadrature formulae with maximal trigonometric degree of exactness

Two conjectures for integrals with oscillatory integrands

Gauss-Radau and Gauss-Lobatto interval quadrature rules for Jacobi weight function

Gauss-Turán quadratures of Kronrod type for generalized Chebyshev weight functions

Kronrod extensions of Gaussian quadratures with multiple nodes

On positive definiteness of some linear functionals

Quadrature rules with multiple nodes for evaluating integrals with strong singularities

Remark on orthogonal polynomials induced by the modified Chebyshev measure of the second kind

An error expansion for some Gauss-Turán quadratures and L1-estimates of the remainder term

Bounds of the error of Gauss-Turán-type quadratures

Gaussian type quadrature rules for Müntz systems

Gauss-Laguerre interval quadrature rule

Maximum of the modulus of kernels in Gauss-Turán quadratures with Chebyshev weights: The cases s=1,2

Multiple orthogonality and quadratures of Gaussian type

Multiple orthogonal polynomials on the semicircle

Numerical inversion of the Laplace transform

Orthogonal polynomials and Gaussian quadrature rules related to oscillatory weight functions

Orthogonal polynomials related to the oscillatory-Chebyshev weight function

Remarks on "Orthogonality of some sequences of the rational functions and Müntz polynomials"

Some inequalities for symmetric functions and an application to orthogonal polynomials

Calculation of Gaussian type quadratures with multiple nodes

Convergence of Gaussian quadrature rules for approximation of certain series

Error analysis in some Gauss-Turán-Radau and Gauss-Turán-Lobatto quadratures for analytic functions

Multiple orthogonal polynomials on the semicircle and corresponding quadratures of Gaussian type

On generalized Stirling numbers and polynomials

The Mathematica Package "OrthogonalPolynomials"

Uniqueness and computation of Gaussian interval quadrature formula for Jacobi weight function

An application of little 1/q-Jacobi polynomials to summation of certain series

Complex Jacobi matrices and quadrature rules

Construction of multiple orthogonal polynomials by discretized Stieltjes-Gautschi procedure and corresponding Gaussian quadrature

Error bounds for Gauss-Turán quadrature formulae of analytic functions

Numerical construction of the generalized Hermite polynomials

Some finite summation formulas involving multivariable hypergeometric polynomials

Extremal problems, inequalities, and classical orthogonal polynomials

Generalized factorial functions, numbers and polynomials

Numerical integration of functions with logarithmic end point singularity

Orthogonal polynomials on the radial rays in the complex plane and applications

Quadrature formulae connected to σ-orthogonal polynomials

Weighted integration of periodic functions on the real line

A note on density of the zeros of σ-orthogonal polynomials

Quadrature with multiple nodes, power orthogonality, and moment-preserving spline approximation

Note on a construction of weights in Gauss-type quadrature rule

The β-polynomials of complete graphs are real

An extremal problem for the length of algebraic polynomials

A note to the paper "On a new class of polynomials" by C.L. Parihar and S.K. Harne

Construction of Chakalov-Popoviciu's type quadrature formulae

Numerical calculation of integrals involving oscillatory and singular kernels and some applications of quadratures

Orthogonal polynomials on the radial rays and an electrostatic interpretation of zeros

Some improvements in calculation of the natural log of a square matrix

Some Müntz orthogonal systems

A class of orthogonal polynomials on the radial rays in the complex plane

Designing hexagonal systolic array by composite mappings

Discrete inequalities of Wirtinger's type for higher differences

On Birkhoff (0,3) and (0,4) quadrature formulae

On Moore-Penrose inverse of block matrices and full-rank factorization

Shape preserving approximations by polynomials and splines

S-orthogonality and construction of Gauss-Turán type quadrature formulae

Zero distribution of polynomials orthogonal on the radial rays in the complex plane

A class of orthogonal polynomials on the radial rays in the complex plane, II

A sequence of Kurepa's functions

Dragoslav S. Mitrinović (1908 – 1995) – Life and scientific work

Parallel divide and conquer algorithm for solving tridiagonal systems

Quadrature formulas of Radau type on (0, +∞)

Spline approximation and generalized Turán quadratures

An estimate for coefficients of polynomials in L2 norm, II

A numerical procedure for coefficients in generalized Gauss-Turán quadratures

Complex orthogonal polynomials with the Hermite weight

Expansions of the Kurepa function

On properties of some nonclassical orthogonal polynomials

Some classes of orthogonal polynomials and applications

Some nonstandard types of orthogonality (A survey)

Summation of series and Gaussian quadratures, II

An estimate for coefficients of polynomials in L2 norm

Explicit formulas for numbers of Carlitz and Toscano

Extremal problems of Markov's type for some differential operators

On Markov-Duffin-Schaeffer inequalities

On polynomials orthogonal on a circular arc

Weighted L2-analogues of Bernstein's inequality and classical orthogonal polynomials

Zero distribution of a class of polynomials associated with the generalized Hermite polynomials

On polynomials orthogonal on the semicircle and applications

Polynomials related to the generalized Hermite polynomials

Recurrence relation for a class of polynomials associated by the generalized Hermite polynomials

Moment-preserving spline approximation and quadratures

Some consideration about Gegenbauer's and Humbert's polynomials

Integral spline operators in CAGD

Numerical differentiation of analityc functions using quadratures on the semicircle

On some properties of Humbert's polynomials, II

Extremal problems for coefficients of algebraic polynomials

Geronimus concept of orthogonality for polynomials orthogonal on a circular arc

On an inequality of Bogar and Gustafson

An extremal problem for polynomials with nonnegative coefficients. IV

Moment-preserving spline approximation on finite intervals and Turán quadratures

Spline approximation via convex programming

Extremal problems for Lorentz classes of nonnegative polynomials in L2 metric with Jacobi weight

Extremal problems for nonnegative polynomials in Lp norm with generalized Laguerre weight

Moment-preserving spline approximation of finite intervals

On construction of one cubature formula for triangle

On some properties of Humbert's polynomials

Polynomials orthogonal on the semicircle II

The numerical evaluation of singular integrals with coth-kernel

Various extremal problems of Markov's type for algebraic polynomials

A generalization of a result of A. Meir for non-decreasing sequences

An extremal problem for polynomials with nonnegative coefficients. II

Least squares approximation with constraint: Generalized Gegenbauer case

Least squares approximation with constraints

On computational efficiency of the iterative methods for simultaneous approximation of polynomial zeros

On numerical evaluation of double integrals of an analytic function of two complex variables

On the convergence order of accelerated simultaneous method for polynomial zeros

Polynomials orthogonal on the semicircle

Some higher-order methods for the simultaneous approximation of multiple polynomial zeros

Spline approximations to spherically symmetric distributions