This contributed volume is dedicated to Academician Gradimir V. Milovanovi on his 75 th 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 Vrnjaka 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.

Honors Gradimir V. Milovanovi 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

Autorentext

Marija Stanic 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. Milovanovic).

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 Djurcic was born on September 13 1967 in Kraljevo. He now lives in Vrane i near municiplaity Vrnjacka 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 Cacak. 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 Albijanic 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 Spalevic 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 Ni . 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.

Inhalt

Part I Introduction.- Chapter 1 The Life Path and Scientific Career of Academician Professor
Gradimir V. Milovanovic.- Part II Contributed Chapters.- Chapter 2 Shift-Invariant Subspaces of Sobolev Spaces and Shift-Preserving Operators.- Chapter 3 Multicriteria Model with a Dominant Criterion in Satisfaction and Non-Satisfaction.- Chapter 4 Enhanced Averaged Quadrature Rules with Application to Error Estimation.- Chapter 5 A Curious Hypergeometric Identity and Perfectness of MeixnerSorokin System of Weights.- Chapter 6 On Reverse Triangle Inequality and some its Applications.- Chapter 7 Classical Karamata Theory of Regular Variability and the Index Function Operator.- Chapter 8 A note on Laguerre Truncated Polynomials and Quadrature
Formula.- Chapter 9 An Optimal Quadrature Formula with Derivative in the Hilbert Space.- Chapter 10 Dynamics of Operators on the Space of Radon Measures.- Chapter 11 Error Estimates of Gaussian-type Quadratures A Survey.- Chapter 12 Partitions and Automorphisms of Finite Kurepa Trees.- Chapter 13 Karamata's Theory, Asymptotic Relations and the Generalized Inverse.- Chapter 14 Optimal Solutions of System of ( 𝑗 , 𝜑)-Hilfer FDEs via Best
Proximity Point using MNC.- Chapter 15 Iterative Methods for the Inclusion of the Inverse Matrix.- Chapter 16 The Optimal Quadrature Formula for the Approximate Calculation of Fourier Coefficients in the Space f𝑊2 (2,1) of Periodic Functions.- Chapter 17 On Almost Deferred Sequence Spaces Defined by Infinite Matrix.- Chapter 18 Certain Classes of Combinatorial Polynomials Involving (Inverse) Binomial Coefficients with their Applications.- Chapter 19 The Finite Difference Method for Solution of Parabolic Problem with Time-Dependent Coefficients.- Chapter 20 Quadrature Rules for Trigonometric Polynomials.- Chapter 21 A Boubaker Collocation Method to Solve the Single Degree of Freedom System.- Chapter 22 New Multiplicative Method of Multicriteria Analysis.