Special Sessions
For your special session proposal, please contact the Organizing Committee by emails atsf2024@gmail.com or atsf2024@etu.edu.tr
List of Special Sessions (SS) approved so far:
SS-1: "Approximation of Functions by Positive Linear Operators" organized by Ana Maria Acu (Lucian Blaga University, anamaria.acu@ulbsibiu.ro), Margareta Heilmann (University of Wuppertal, heilmann@uni-wuppertal.de), and Ioan Rasa (Technical University of Cluj Napoca, Ioan.Rasa@math.utcluj.ro)
Description: Approximation Theory is an important research area in mathematics. In this special session we will focus on positive linear operators which are widely studies for a long time. These operators play an important role in that they offer the possibility to approximate a function while preserving certain shape properties. The aim of this section is to collect recent research of several contemporary issues in this field. To participate in this special session, please first contact the organizer(s) of the session via the email addresses above.
The highlighted topics: Positive linear operators fixing prescribed functions; asymptotic behaviour of iterates; eigenvalues and eigenfunctions; shape preserving properties; asymptotic expansions; linking type operators; atrong converse results
SS-2: "Appell Polynomials and Approximation Theory with Applications" organized by Mehmet Ali Özarslan (Eastern Mediterranean University, mehmetali.ozarslan@emu.edu.tr), Bayram Çekim (Gazi University, bayramcekim@gazi.edu.tr), and Mustafa Kara (Eastern Mediterranean University, mustafa.kara@emu.edu.tr)
Description: The aim of this special session is to bring together academics whose research areas are mainly focused on the Appell polynomials, approximation theory, and their connections with applications. We welcome research papers as well as review papers covering the following topics. To participate in this special session, please first contact the organizer(s) of the session via the email addresses above.
The highlighted topics: General types of Appell polynomials with analytical properties and applications; certain special cases of Appell (and/or special) polynomials and numbers (Bernoulli, Euler, Hermite, Charlier, Fibonacci etc.); approximation properties of linear positive operators constructed based on general (and/or special cases of) Appell polynomials; Appell polynomials from the operational calculus point of view; linear positive operators constructed based on certain generating functions.
SS-3: "Recent Constructive Approximation Methods and Applications" organized by Harun Karslı (Abant İzzet Baysal University, karsli_h@ibu.edu.tr) and Octavian Agratini (Babes-Bolyai University and Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy, o.agratini@yahoo.com)
Description: The session focuses on the investigation of the properties of linear or nonlinear operators in function spaces; in particular integral operators, wavelet type operators, Urysohn type operators, discrete operators like generalized sampling series and their recent generalizations. The aim is to state of current research concerning convergence properties and their concrete applications (for example, signal analysis and image reconstruction). Contemporary applications and connections with other fields are also welcome. To participate in this special session, please first contact the organizer(s) of the session via the email addresses above.
The highlighted topics: Linear or nonlinear operators; integral operators; wavelet type operators; Urysohn type operators; discrete operators; generalized sampling series; concrete applications and connections with other fields (for example, signal analysis and image reconstruction).
SS-4: "Approximation by Nonlinear Operators and Their Applications" organized by İsmail Aslan (Hacettepe University, ismail-aslan@hacettepe.edu.tr) and Türkan Yeliz Gökçer Ellidokuz (Bahçeşehir University, ylzgkcr@gmail.com)
Description: The primary goal of this special session is to welcome novel forms of nonlinear approximation operators, actively participate in discussions concerning efficient methodologies for achieving improved results, and carefully analyze the potential impact of approximation techniques on outcomes across diverse application domains. To participate in this special session, please first contact the organizer(s) of the session via the email addresses above.
The highlighted topics: Classical approximation; sampling operators; interpolation operators; approximation by neural networks; nonlinear operators; pseudo-linear operators; sublinear operators; error of approximation.
SS-5: "Integrable Systems, Supersymmetric Approaches and Quantum Gravity" organized by Özlem Yeşiltaş (Gazi University, yesiltas@gazi.edu.tr)
Description: This special session is devoted to problems of mathematical physics related to the theory of integrable systems, quantum groups, quantum symmetries, and their applications. In particular, we aim to discuss with mathematicians and physicists mathematical objects often encountered in physical applications (e.g. special functions and differential equations) and to apply symmetries to physics. To participate in this special session, please first contact the organizer(s) of the session via the email addresses above.
The highlighted topics: Quantum and classical integrable systems; Lie algebraic approaches; supersymmetry and integrability; higher spin field theory; quantum gravity; modern mathematical methods for the ordinary and partial differential equations in physics and special functions.
SS-6: "Hypergeometric Functions, Orthogonal Polynomials and Multivariable Polynomials" organized by Nejla Özmen (Düzce University, nejlaozmen@duzce.edu.tr) and Düriye Korkmaz Düzgün (Ankara Hacı Bayram Veli University, duriye.korkmazduzgun@hbv.edu.tr)
Description: This special session aims to bring together the most recent developments in hypergeometric functions, orthogonal polynomials, and multivariable polynomials with a view to describing new special functions and to discuss different aspects of these functions and recent advances in hypergeometric differential equations. We are interested in receiving research articles and review papers on the following topics. To participate in this special session, please first contact the organizer(s) of the session via the email addresses above.
The highlighted topics: Generating functions; q-generating functions; bilateral and linear generating functions; recurrence relations; summation formulae; umbral calculus; Fourier series; matrix-valued polynomials; extended special functions; multiple hypergeometric functions; generalized hypergeometric functions; multivariable polynomials; special orthogonal functions; special polynomials.
SS-7: "Summability Theory and its Applications to Approximation Theory" organized by Kamil Demirci (Sinop University, kamild@sinop.edu.tr)
Description: The primary objective of this special session is to bring together scholars whose research domains have a strong connection to summability theory, approximation theorems involving various convergence methods, and their applications. To participate in this special session, please first contact the organizer(s) of the session via the email addresses above.
The highlighted topics: Korovkin type theorems; Vorononskaya type theorems; rates of convergence; multivariable approximation; monote and sublinear operators; convergence methods in summability theory; Tauberian theorems; core theorems.
SS-8: "Convergence Methods on Time Scales" organized by Ceylan Turan Yalçın (Çankaya University, cyalcin@cankaya.edu.tr)
Description: Time scale analysis offers a notable advantage by combining continuous and discrete analysis, allowing researchers to establish more comprehensive theories. Over the past two decades, it has garnered significant attention from researchers across various fields. A considerable number of researchers are currently involved with research on time scales. This special session is devoted to developing new concepts on time scales related to convergence methods in the summability theory. The session provides a platform for experts and novices to meet together and share the results. To participate in this special session, please first contact the organizer(s) of the session via the email addresses above.
The highlighted topics: Statistical convergence on time scales; lacunary statistical convergence on time scales; integral transformations on time scales, Tauberian conditions on time scales, measurable functions on time scales.