Oktay Duman - Böcker

Advances in Applied Mathematics and Approximation Theory: Contributions from AMAT 2012 is a collection of the best articles presented at “Applied Mathematics and Approximation Theory 2012,” an international conference held in Ankara, Turkey, May 17-20, 2012. This volume brings together key work from authors in the field covering topics such as ODEs, PDEs, difference equations, applied analysis, computational analysis, signal theory, positive operators, statistical approximation, fuzzy approximation, fractional analysis, semigroups, inequalities, special functions and summability. The collection will be a useful resource for researchers in applied mathematics, engineering and statistics.​

Advances in Applied Mathematics and Approximation Theory: Contributions from AMAT 2012 is a collection of the best articles presented at “Applied Mathematics and Approximation Theory 2012,” an international conference held in Ankara, Turkey, May 17-20, 2012.

This book compiles carefully reviewed papers presented at the international conference "Approximation Theory and Special Functions - ATSF 2024," held in Ankara, Türkiye, from September 4-7, 2024. These contributions provide valuable insights into the latest developments at the intersection of approximation theory and special functions. This work consists of two main parts: Approximation Theory and Special Functions. The Approximation Theory section focuses on topics such as classical approximation by operators, linear and nonlinear approximation, singular operators, fractional approximation, neural networks, numerical approximation, and interpolation. The Special Functions section deals with extremal polynomials, some newly introduced Appell polynomials, multivariate special polynomials, hypergeometric functions, generating functions, fixed point theory, potential theory, and their various applications.This volume serves as an invaluable resource for a diverse audience, including researchers, practitioners in approximation theory and special functions, as well as graduate students attending advanced seminars.ATSF is an international conference series organized to bring together researchers from all areas of Approximation Theory and Special Functions to discuss new ideas and new applications. This organization, which has been held seven times so far as mini-symposia, has grown gradually over the years. The 2024 edition, hosted by TOBB Economics and Technology University in Ankara, marks its eightieth iteration.

Featuring the clearly presented and expertly-refereed contributions of leading researchers in the field of approximation theory, this volume is a collection of the best contributions at the Third International Conference on Applied Mathematics and Approximation Theory, an international conference held at TOBB University of Economics and Technology in Ankara, Turkey, on May 28-31, 2015.The goal of the conference, and this volume, is to bring together key work from researchers in all areas of approximation theory, covering topics such as ODEs, PDEs, difference equations, applied analysis, computational analysis, signal theory, positive operators, statistical approximation, fuzzy approximation, fractional analysis, semigroups, inequalities, special functions and summability. These topics are presented both within their traditional context of approximation theory, while also focusing on their connections to applied mathematics. As a result, this collection will be an invaluable resource for researchers in applied mathematics, engineering and statistics.​​

This specialvolume is a collection of outstanding more applied articles presented in AMAT2015 held in Ankara, May 28-31, 2015, at TOBB Economics and TechnologyUniversity.The collectionis suitable for Applied and Computational Mathematics and Engineeringpractitioners, also for related graduate students and researchers. Furthermoreit will be a useful resource for all science and engineering libraries.This bookincludes 29 self-contained and well-edited chapters that can be among othersuseful for seminars in applied and computational mathematics, as well as in engineering.

Featuring the clearly presented and expertly-refereed contributions of leading researchers in the field of approximation theory, this volume is a collection of the best contributions at the Third International Conference on Applied Mathematics and Approximation Theory, an international conference held at TOBB University of Economics and Technology in Ankara, Turkey, on May 28-31, 2015.The goal of the conference, and this volume, is to bring together key work from researchers in all areas of approximation theory, covering topics such as ODEs, PDEs, difference equations, applied analysis, computational analysis, signal theory, positive operators, statistical approximation, fuzzy approximation, fractional analysis, semigroups, inequalities, special functions and summability. These topics are presented both within their traditional context of approximation theory, while also focusing on their connections to applied mathematics. As a result, this collection will be an invaluable resource for researchers in applied mathematics, engineering and statistics.​​

The main idea of statistical convergence is to demand convergence only for a majority of elements of a sequence. This method of convergence has been investigated in many fundamental areas of mathematics such as: measure theory, approximation theory, fuzzy logic theory, summability theory, and so on. In this monograph we consider this concept in approximating a function by linear operators, especially when the classical limit fails. The results of this book not only cover the classical and statistical approximation theory, but also are applied in the fuzzy logic via the fuzzy-valued operators. The authors in particular treat the important Korovkin approximation theory of positive linear operators in statistical and fuzzy sense. They also present various statistical approximation theorems for some specific real and complex-valued linear operators that are not positive. This is the first monograph in Statistical Approximation Theory and Fuzziness. The chapters are self-contained and several advanced courses can be taught.The research findings will be useful in various applications including applied and computational mathematics, stochastics, engineering, artificial intelligence, vision and machine learning. This monograph is directed to graduate students, researchers, practitioners and professors of all disciplines.