Prof. Dr. Gradimir V. Milovanović
Prof. Dr. Gradimir V. Milovanović is a Serbian mathematician renowned for his contributions to approximation theory, numerical analysis, and orthogonal polynomials. He has authored numerous papers and books, advancing research in these fields.
View PublicationsNews and Events
- Published on 2026-05-13
- Published on 2026-03-05
- Published on 2026-03-05
Scholarly Profiles, Indexes and Databases
Research Interests
Orthogonal Polynomials and Systems
Study of families of polynomials that are mutually orthogonal with respect to specific inner products and weight functions-ranging from classical to non-classical measures on domains like the real line, unit circle, and semicircle-primarily for advancing Gaussian quadrature rules in numerical integration, moment-preserving spline approximations, extremal problems, numerical differentiation, and the summation of slowly convergent series.
Interpolation, Quadrature Processes and Integral Equations
Study of and advancing convergent interpolation methods for algebraic and trigonometric polynomials using optimal node systems and tools like orthogonal polynomials, developing Gaussian-type quadrature formulas with error estimates for numerical integration of highly oscillating functions, and creating numerical solutions for Fredholm integral equations of the second kind based on polynomial interpolation to ensure convergence in weighted uniform norms.
Approximations by Polynomials and Splines
Study of and development of shape-preserving methods and algorithms for interpolating or approximating univariate functions and discrete data, ensuring the retention of key geometric properties such as monotonicity, positivity, and convexity.
Polynomials (Extremal Problems, Inequalities, Zeros)
Study of and analyzing key results in polynomial theory, including optimization challenges like maximizing or minimizing polynomial functionals, deriving inequalities such as Markov-Bernstein types to bound derivatives and values, and examining the distribution, location, and properties of polynomial roots.
Inequalities
Study of mathematical inequalities, particularly those of Markov-Bernstein type, applied to extremal problems, polynomial zeros, approximation theory, and numerical integration.
Publications
Publications in Honor of Gradimir V. Milovanović
Total
3
Analysis, Approximation, Optimization: Computation and Applications
In Honor of Gradimir V. Milovanović on the Occasion of His 75th Birthday
Editor(s):
M.P. Stanić
M. Albijanić
D. Djurčić
M.M. Spalević
Springer Cham, Gewerbestrasse 1, Cham, Zug, 6330, Switzerland
Proceedings Book of MICOPAM 2018
Dedicated to Professor Gradimir V. Milovanovic on the Occasion of his 70th Anniversary
Editor(s):
Y. Simsek
M. Albijanić
M. Alkan
I. Kucukoglu
Školsi servis Gajić DOO, Beograd, Serbia
Approximation and Computation
In Honor of Gradimir V. Milovanović
Editor(s):
W. Gautschi
G. Mastroianni
Th.M. Rassias
Springer New York, NY, Springer Science+Business Media, LLC, 233 Spring Street, New York, NY, 10013, United States of America
Textbooks
Total
24
Mathematics
G.V. Milovanović
D.D. Joksimović
R.Ž. Đorđević
Kriminalističko-policijska akademija, Beograd, 11000, Serbia
2015
(Second Edition 2019)
VIII+304 pp.
(Serbian)
Systems of Differential Equations
D.Ć. Dolićanin-Đekić
I.A. Soloviev
R.Ž. Đorđević
G.V. Milovanović
State University of Novi Pazar, Novi Pazar, Serbia
2013
IV+145 pp.
(Serbian)
.png)
Mathematics I
Linear Algebra, Polynomials, Analytic Geometry
M.A. Kovačević
G.V. Milovanović
R.Ž. Đorđević
Sven, Niš, 18000, Serbia
Applications of Linear and Integer Programming
P.S. Stanimirović
G.V. Milovanović
I.M. Jovanović
University of Niš, Faculty of Science and Mathematics, Niš, 18000, Serbia
2008
X+298 pp.
(Serbian)
Operations Research
Lj.M. Kocić
G.V. Milovanović
S.D. Marinković
University of Niš, Faculty of Electronic Engineering, Niš, 18000, Serbia
Numerical Methods in Computational Engineering
G.V. Milovanović
Ð. R. Đorđević
University of Niš, Faculty of Civil Engineering and Architecture, Niš, 18000, Serbia
Books & Proceedings Edited
Total
7
Mihailo Petrović Alas: Life, Work, Times
On the Occasion of the 150th Anniversary of his Birth
Editor(s):
G.V. Milovanović
S. Pilipović
Ž. Mijajlović
Serbian Academy of Sciences and Arts, Belgrade, 11000, Serbia
2019
Analytic Number Theory, Approximation Theory, and Special Functions
In Honor of Hari M. Srivastava
Editor(s):
G.V. Milovanović
Th.M. Rassias
Springer Cham, Gewerbestrasse 1, Cham, Zug, 6330, Switzerland
Symposium on Approximation, Scientific Computation and Applications "ASCA-2012"
Editor(s):
G.V. Milovanović
AIP Conference Proceeedings, Melville, New York, United States of America
2012
In: Numerical Analysis and Applied Mathematics (ICNAAM 2012)
Vol. 1479 (2012), p. 1041
DOI 10.1063/1.4756323
Proceedings of the Eight Symposium of Mathematics and its Applications
Papers from the Symposium held at the Electrical Engineering Faculty, Department of Mathematics, Timisoara, România, November 4 – 7, 1999
Editor(s):
N. Boja
G.V. Milovanović
P. Corsini
P. Gavruta
Politehnica Timisoara, Bul. St. Univ., Timisoara, Romania
1999
Recent Progress in Inequalities
A volume dedicated to Professor D. S. Mitrinović, Mathematics and Its Applications
Editor(s):
G.V. Milovanović
Kluwer Academic Publishers, Dordrecht, Netherlands
Numerical Methods and Approximation Theory III
Papers from the Conference held at the University of Niš, Niš, August 18 – 21, 1987
Editor(s):
G.V. Milovanović
University of Niš, Faculty of Electronic Engineering, Niš, 18000, Serbia
Monographs
Total
9
Quadrature Formulae With Multiple Nodes
(Draft version)
G.V. Milovanović
M.M. Spalević
M.S. Pranić
World Scientific Publishing Co., Singapore – New Jersey – London – Hong Kong, Singapore
2026
Extremal Problems and Inequalities of Markov-Bernstein Type for Algebraic Polynomials
Mathematical Analysis and Its Applications
R.B. Gardner
N.K. Govil
G.V. Milovanović
Elsevier/Academic Press, London, United Kingdom of Great Britain and Northern Ireland
Numerical Analysis and Approximation Theory
Introduction to Numerical Processes and Solving Equations
G.V. Milovanović
Zavod za udžbenike, Belgrade, 11000, Serbia
2014
(Serbian)
Special Classes of Polynomials
G.B. Đorđević
G.V. Milovanović
University of Niš, Faculty of Technology, Leskovac, Serbia
2014
Extremal Problems and Inequalities for Polynomials
G.V. Milovanović
Zavod za udžbenike, Belgrade, 11000, Serbia
2012
(Serbian)
Interpolation Processes - Basic Theory and Applications
Springer Monographs in Mathematics
G. Mastroianni
G.V. Milovanović
Springer – Verlag, Berlin - Heidelberg, Germany
Book Chapters
Total
38
Iterative processes and integral equations of the second kind
S. Micula
G.V. Milovanović
Springer Cham, Gewerbestrasse 1, Cham, Zug, 6330, Switzerland
2023
In: Matrix and Operator Equations and Applications (M. S, Moslehian, ed.)
pp. 661 – 711
Dedekind and Hardy type sums and trigonometric sums induced by quadrature formulas
G.V. Milovanović
Y. Simsek
Springer Cham, Gewerbestrasse 1, Cham, Zug, 6330, Switzerland
2020
In: Trigonometric Sums and Their Applications (A.M. Raigorodskii, M.Th. Rassias, eds.)
pp. 183 – 228
978-3-030-37903-2
Best constants for Poincare-type inequalities in W_1^n(0,1)
A. Guessab
G.V. Milovanović
Springer Cham, Gewerbestrasse 1, Cham, Zug, 6330, Switzerland
2019
In: Differential and Integral Inequalities (D. Andrica, Th.M. Rassias, eds.), Springer Optimization and Its Applications, Vol. 151
pp. 391 – 402
978-3-030-27406-1
The Serbian school of mathematics
from Mihailo Petrović to the Shanghai list
G.V. Milovanović
M. Mateljević
M. Albijanić
Serbian Academy of Sciences and Arts, Belgrade, 11000, Serbia
2019
In: Mihailo Petrović Alas: Life, Work,Times - On the Occasion of the 150th Anniversary of his Birth (S. Pilipović, G.V. Milovanović, Ž. Mijajlović, eds.)
pp. 65 – 92
Some reverse Hölder type inequalities involving (k,s)–Riemann-Liouville fractional integrals
M. Tomar
P. Agarwal
S. Jain
G.V. Milovanović
Springer Cham, Gewerbestrasse 1, Cham, Zug, 6330, Switzerland
2017
In: Functional Analysis in Interdisciplinary Applications. FAIA 2017 (T. Kalmenov, E. Nursultanov, M. Ruzhansky, M. Sadybekov, eds.), Springer Proceedings in Mathematics & Statistics, Vol. 216
pp. 302 – 311
978-3-319-67052-2
Summation formulas of Euler-Maclaurin and Abel-Plana: old and new results and applications
G.V. Milovanović
Springer Cham, Gewerbestrasse 1, Cham, Zug, 6330, Switzerland
2017
In: Progress in Approximation Theory and Applicable Complex Analysis – In the Memory of Q.I. Rahman (N.K. Govil, R.N. Mohapatra, M.A. Qazi, G. Schmeisser, eds.)
pp. 429 – 461
978-3-3199-49240-1
Refereed Journals
Total
357
A gradient projection algorithm based on the normal-S iterative algorithm: Convergence analysis and machine learning application
M. Ertürk
F. Gürsoy
E. Hacioğlu
G.V. Milovanović
Optim. Letters
Optimization Letters, Springer Nature, Berlin, London, New York, Heidelberg , Germany
An exploration of the versatile nature of enriched contraction mappings: Collage-type theorems and inverse problem applications
E. Hacioğlu
A. Keten Çopur
F. Gürsoy
G.V. Milovanović
FILOMAT
FILOMAT, Faculty of Science and Mathematics, Višegradska 33, P.O. Box 224, Niš, 18000, Serbia
Bernstein-type growth estimates for polynomials that do not vanish in a central disc of positive radius
G.V. Milovanović
A. Mir
Ukrainian Math. J.
Ukrainian Mathematical Journal, Springer, Heidelberger Platz 3, Berlin, 14197, Germany
Nonconforming approximation methods for function reconstruction on general polygonal meshes via orthogonal polynomials
F. Dell'Accio
A. Guessab
G.V. Milovanović
F. Nudo
IMA J. Numer. Anal.
IMA Journal of Numerical Analysis, Oxford University Press, Great Clarendon Street, Oxford, OX2 6DP, United Kingdom of Great Britain and Northern Ireland
The Obreschkoff-Ostrowski's inequalities via Fink type identity
M. Alomari
G.V. Milovanović
Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Math. RACSM
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, Springer, Heidelberger Platz 3, Berlin, 14197, Germany
Zero distribution of polynomials in a quaternionic variable"
G.V. Milovanović
A. Mir
Aequationes Math.
Aequationes Mathematicae, Springer Nature
Conference Proceedings
Total
51
Orthogonality in the complex plane
2024
In: Proceedings Book of MICOPAM 2024 – The 7th Mediterranean International Conference of Pure & Applied Mathematics and Related Areas (Antalya, October 26 – 29, 2024)
pp. 20 – 24
978-625-00-1131-7
Complex orthogonality on the semicircle and numerical integration and differentiation
G.V. Milovanović
2023
In: Proceedings Book of MICOPAM 2023 – The 6th Mediterranean International Conference of Pure & Applied Mathematics and Related Areas (Paris, August 23 – 27, 2023)
pp. 13 – 17
978-2-491766-01-6
Methods for slowly convergent series and applications to special functions
G.V. Milovanović
2022
In: Proceedings Book of MICOPAM 2022 – The 5th Mediterranean International Conference of Pure & Applied Mathematics and Related Areas (Antalya, October 27 – 30, 2022)
pp. 7 – 10
978-625-00-0917-8
Geometry of polynomials in the works of Mihailo Petrovic and his descendants
R. Bakić
Ž. Mijajlović
G.V. Milovanović
Serbian Academy of Sciences and Arts, Belgrade, 11000, Serbia
2018
In: Mihailo Petrović Alas: Regarding one hundred and fifty years from his birth, Scientific meeting with an international partake, held at the Serbian Academy of Sciences and Arts on October 2 – 3, 2018 (G. Milovanović, S. Pilipović, Ž. Mijajlović, eds.)
pp. 97 – 116
Orthogonal polynomials on radial rays in the complex plane
G.V. Milovanović
Školsi servis Gajić DOO, Beograd, Serbia
Integral equations of Love's type and applications
G.V. Milovanović
Institute of Computational Technologies, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russian Federation
Other Publications
Total
33
Sećanje na akademika Blagoja Popova
Academician Blagoj Popov: 100 years since his his birth. VII Macedonian Mathematical Congress (June 27-30, 2023, Struga)
G.V. Milovanović
2023
Mihailo Petrović Alas
Školovanje, naučni i pedagoški rad, univerzitetska karijera i stvaranje matematičke škole
G.V. Milovanović
2020
Mihailo Petrović Alas - Life, Work, Times
Scientific activities and contributions to the creation of the Serbian Mathematical School
G.V. Milovanović
Serbian Academy of Sciences and Arts, Belgrade, 11000, Serbia
Orthogonality on objects in the complex plane and applications
G.V. Milovanović
Memories on Časlav Stanojević and his scientific contribution
G.V. Milovanović
2013
In: Časlav Stanojević - Život i delo, Zbornik radova, Matematički fakultet, Beograd
33 – 40
(Serbian)
Orthogonality in numerical processes with special reference to quadrature formulas
G.V. Milovanović
2007
In: Annals of the Branch of SANU in Novi Sad, No. 2 for 2006, Novi Sad
29 – 38
(Serbian)
Teaching
Courses Taught:
- Numerical Analysis
- Approximation Theory
- Real Analysis
- Linear Algebra
- Special Functions
- Mathematical Programming
- Differential Equations, etc.
Downloads
- OrthogonalPolynomials.zip