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Analysis, Approximation, Optimization: Computation and Applications

In Honor of Gradimir V. Milovanović on the Occasion of His 75th Birthday

  • Book
  • © 2025

Overview

Editors:
  1. Marija P. Stanić

    1. Faculty of Science, Department of Mathematics and Informatics, University of Kragujevac, Kragujevac, Serbia

  2. Miloljub Albijanić

    1. FEFA Faculty, Metropolitan University, Belgrade, Serbia

  3. Dragan Djurčić

    1. Faculty of Technical Sciences Čačak, University of Kragujevac, Čačak, Serbia

  4. Miodrag M. Spalević

    1. Faculty of Mechanical Engineering, Department of Mathematics and Computer Science, University of Beograd, Belgrade, Serbia

  • Honors Gradimir V. Milovanović on his 75th birthday
  • Naturally interdisciplinary with contributions from well-known mathematicians and computer scientists
  • Provides an overview of new results from different fields of Functional and Numerical Analysis and their applications

Part of the book series: Springer Optimization and Its Applications (SOIA, volume 224)

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About this book

This contributed volume is dedicated to Academician Gradimir V. Milovanović on his 75th birthday and contains recent results in the fields of approximation theory, numerical analysis, mathematical analysis, optimization theory, and various applications of an interdisciplinary character.

Most of these results were presented in person during an International Conference “Analysis, Approximations and Applications" (AAA2023), organized by the Faculty of Science, University of Kragujevac in Vrnjačka Banja, Serbia (June 21-24, 2023).

This book is intended for researchers and students of mathematics and other computational and applied sciences.

This book provides surveys of state of the art results in the fields of Extremal Problems, Optimization and Calculus of Variations; Orthogonal Systems and Quadrature Formulas; Differential and Integral Equations, Integral Transforms and Operation Calculus; Analytic Number Theory and Special Functions; Real and Complex Functions, Sequences, Series, Approximations and Expansions; Functional Analysis, Operator Theory, Fixed Point Theory and Iterative Processes, as well as in Miscellaneous Applications.

Keywords

Table of contents (22 chapters)

  1. Front Matter

    Pages i-xxiii
    Download chapter PDF

  2. Introduction

    1. Front Matter

      Pages 1-1
      Download chapter PDF

    2. The Life Path and Scientific Career of Academician Professor Gradimir V. Milovanović

      • Miodrag M. Spalević, Marija P. Stanić
      Pages 3-19

  3. Contributed Chapters

    1. Front Matter

      Pages 21-21
      Download chapter PDF

    2. Shift-Invariant Subspaces of Sobolev Spaces and Shift-Preserving Operators

      • Aleksandar Aksentijević, Suzana Aleksić, Stevan Pilipović
      Pages 23-56

    3. Multicriteria Model with a Dominant Criterion in Satisfaction and Non-Satisfaction

      • Miloljub Albijanić, Miodrag M. Žižović, Dragan Pamučar, Mališa R. Žižović
      Pages 57-69

    4. Enhanced Averaged Quadrature Rules with Application to Error Estimation

      • Hanan Almutairi, Dušan Lj. Djukić, Rada M. Mutavdžić Djukić, Miroslav S. Pranić, Lothar Reichel, Miodrag M. Spalević
      Pages 71-87

    5. A Curious Hypergeometric Identity and Perfectness of Meixner–Sorokin System of Weights

      • Alexander I. Aptekarev, Alexander V. Dyachenko, Vladimir G. Lysov
      Pages 89-104

    6. On Reverse Triangle Inequality and Some of Its Applications

      • Ivan D. Arand-elović
      Pages 105-113

    7. Classical Karamata Theory of Regular Variability and the Index Function Operator

      • Danica Fatić, Dragan Djurčić
      Pages 115-133

    8. A Note on Laguerre Truncated Polynomials and Quadrature Formula

      • Juan C. García-Ardila, Francisco Marcellán
      Pages 135-154

    9. An Optimal Quadrature Formula with Derivative in the Hilbert Space

      • Abdullo R. Hayotov, Samandar S. Babaev
      Pages 155-170

    10. Dynamics of Operators on the Space of Radon Measures

      • Stefan Ivković
      Pages 171-193

    11. Error Estimates of Gaussian-type Quadratures—A Survey

      • Davorka R. Jandrlić, Aleksandar V. Pejčev, Miodrag M. Spalević
      Pages 195-209

    12. Partitions and Automorphisms of Finite Kurepa Trees

      • Žarko Mijajlović
      Pages 211-234

    13. Karamata’s Theory, Asymptotic Relations, and the Generalized Inverse

      • Rale M. Nikolić, Valentina Timotić, Dragan Djurčić
      Pages 235-255

    14. Optimal Solutions of System of \((j, \varphi )\)-Hilfer FDEs via Best Proximity Point Using MNC

      • Pradip R. Patle, Moosa Gabeleh, D. R. Abed Al-Zuhairi, Vladimir Rakočević
      Pages 257-273

    15. Iterative Methods for the Inclusion of the Inverse Matrix

      • Marko D. Petković, Miodrag S. Petković
      Pages 275-285

    16. The Optimal Quadrature Formula for the Approximate Calculation of Fourier Coefficients in the Space \( \widetilde {W_{2} }^{(2,1)}\) of Periodic Functions

      • Kholmat Shadimetov, Abdullo Hayotov, Umedjon Khayriev
      Pages 287-300

    17. On Almost Deferred Sequence Spaces Defined by Infinite Matrix

      • Ekrem Savas
      Pages 301-310
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Editors and Affiliations

  • Faculty of Science, Department of Mathematics and Informatics, University of Kragujevac, Kragujevac, Serbia

    Marija P. Stanić

  • FEFA Faculty, Metropolitan University, Belgrade, Serbia

    Miloljub Albijanić

  • Faculty of Technical Sciences Čačak, University of Kragujevac, Čačak, Serbia

    Dragan Djurčić

  • Faculty of Mechanical Engineering, Department of Mathematics and Computer Science, University of Beograd, Belgrade, Serbia

    Miodrag M. Spalević

About the editors

Marija Stanić is a full professor and the dean of Faculty of Science at the University of Kragujevac. She completed her mathematics studies at the University of Kragujevac in 1998. She defended her master's thesis in 2003, and her doctoral dissertation in 2007 (both in the field of Numerical Analysis and Approximation Theory, the adviser was Prof. Gradimir V. Milovanović). 

Her research areas include Numerical Analysis and Approximation Theory (especially Orthogonal Systems and Quadrature Processes), Functional Analysis, and Teaching of Mathematics. She published 40 papers in the leading international mathematical journals, 4 chapters in different Monographs published by Springer, one monograph, and more than 20 mathematical books in Serbian language. She gave lectures at more than 30 international and national mathematical conferences. She is the editor of several mathematical journals.

Dragan Djurčić was born on September 13 1967 in Kraljevo. He now lives in Vraneši near municiplaity Vrnjačka Banja. He graduated at the Faculty of Mathematics, University of Belgrade in 1992, and defended his Magister of Science thesis at the same faculty in 1995. He defended his Ph.D. thesis entitled "Karamata's Theory and Theorems of Tauber Type" in 1999 at the Faculty of Science, University of Kragujevac. He is author and co-author of more than 30 papers published in top international scientific journals. He also presented his research results at many important mathematical conferences devoted to mathematical analysis that were held in Serbia in the last 10 years. Besides analysis, other areas of his research interest are Selection principles, Topological Games and Fuzzy Theory. He is the author and co-author of 6 university books (3 textbooks and 3 books of solved problems for students). He is also co-author of one chapter in an international monograph. He was teaching at the Faculty of Mathematics, University of Belgrade, Faculty of science, University of Kragujevac, Faculty of Mechanical Engineering in Kraljevo, University of Kragujevac, Faculty of Philosophy, University of East Sarajevo (Bosina and Herzegovina), College of Technical Engineering in Čačak. In the last 10 years, he takes part in projects funded by Ministry of Science of Republic Serbia (A1 cathegory). He is member of Editorial boards of 2 widely recognized international journals.

Miloljub Albijanić  is a Serbian politician , mathematician and writer. He graduated from the Faculty of Mathematics of the University of Belgrade, majoring in Numerical Analysis, Cybernetics and Optimization.He was a professor of mathematics from 1995 to 2003, and from 2003 he was the director of the Nikola Tesla School of Electrical Engineering in Belgrade, and in 2004 he was the deputy director of the Institute for the Improvement of Education and Training. Member of Parliament in the National Assembly of the Republic of Serbia from 2004 to 2008, and the president of the parliamentary club from 2004 to 2006. Since 2007, he has been a professor of Analysis with Algebra at the Mathematics High School in Belgrade, and from 2008 to 2013, he was the director of the Institute for Textbooks and Teaching Aids.

Miodrag M Spalević studies Numerical Analysis and Computational Mathematics, Primary, and Operation research in industrial applications. In 1986, he received a Graduate Mathematics (B.Sc.) from the University of Kragujevac. In 1994, he was the Magister of Mathematics: Faculty of Philosophy, University of Niš. In 1997, he received his PhD in Mathematics from the University of Kragujevac. Since 2008, he has been a full professor with the Faculty of Mechanical Engineering at the University of Belgrade.

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Bibliographic Information

  • Book Title: Analysis, Approximation, Optimization: Computation and Applications

  • Book Subtitle: In Honor of Gradimir V. Milovanović on the Occasion of His 75th Birthday

  • Editors: Marija P. Stanić, Miloljub Albijanić, Dragan Djurčić, Miodrag M. Spalević

  • Series Title: Springer Optimization and Its Applications

  • DOI: https://doi.org/10.1007/978-3-031-85743-0

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2025

  • Hardcover ISBN: 978-3-031-85742-3Published: 13 June 2025

  • Softcover ISBN: 978-3-031-85745-4Due: 27 June 2026

  • eBook ISBN: 978-3-031-85743-0Published: 12 June 2025

  • Series ISSN: 1931-6828

  • Series E-ISSN: 1931-6836

  • Edition Number: 1

  • Number of Pages: XXIII, 434

  • Number of Illustrations: 5 b/w illustrations, 28 illustrations in colour

  • Topics: Optimization, Computational Mathematics and Numerical Analysis

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