Approximation Theory and Special Functions : ATSF 2024, Ankara, Türkiye, September 4–7 / edited by Oktay Duman, Esra Erkus-Duman.

Format:

Book

Author/Creator:

Duman, Oktay.

Contributor:

Duman

Series:

Springer Proceedings in Mathematics & Statistics, 2194-1017 ; 503

Language:

English

Subjects (All):

Approximation theory.

Functions, Special.

Mathematics--Data processing.

Mathematics.

Approximations and Expansions.

Special Functions.

Computational Science and Engineering.

Local Subjects:

Approximations and Expansions.

Special Functions.

Computational Science and Engineering.

Physical Description:

1 online resource (959 pages)

Edition:

1st ed. 2026.

Place of Publication:

Cham : Springer Nature Switzerland : Imprint: Springer, 2026.

Summary:

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 book 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.

Contents:

Interpolating projections in Fréchet algebras

Trigonometric Background Multivariate Smooth Poisson-Cauchy Singular Integrals Approximation

Asymptotic and quantitative results of Neural Network operators that employ wavelets

Genuine Bernstein-Durrmeyer type operators preserving 1 and x^j (II)

Korovkin-type approximation theorems for functions with the help of Istatistical convergence

Fractional Approximation of Time Separating Stochastic Processes by Neural Networks of Compact Support

Some Results of Korovkin Type For Nonlinear Operators

Approximation Properties of Generalized Q-Favard-Sz´asz-Mirakjan Operators of Max-Product Kind

Riemann-Liouville Type Fractional Generalized $\lambda-$Bernstein-Kantorovich Operators

Parametric Extensions of a Certain Family of Bernstein-Type Rational Functions

Stability Analysis of a SAIR Epidemic Model with Logistic Growth in Susceptible Compartment

Numerical Solution and Effective Error Estimation for a Mixed Problem for the Laplace Equation

On Some Comparison of Multi-step Multi-derivative Methods and Its Application to Solve the Volterra Integro-Differential Equations

Existence and Uniqueness of strong Solution of the Time fractional integro differential equation with integral boundary conditions

The New Numerical Solutions of the Atangana-Baleanu Fractional Benney Equation

A New Dual-phase Hybrid Variable Selection Method in High-Dimensional Data

Certain New Integral Formulas Involving the Generalized Multi-index Bessel Functions

Lower Bounds for Extremal Polynomials

General Families of Cosine and Sine Appell Polynomials

Some properties of Frobenius-Sigmoid polynomials

The Appell-Fibonacci Polynomials

On Bivariate Jacobi Konhauser Polynomials

The Multivariable-Multiparameter generalized Cesaro polynomials and the generalized Lauricella functions

The Difference Equation of Meijier’s G-function

The generalized finite bivariate biorthogonal M - Jacobi polynomials

Probabilistic new type degenerate Bell polynomials of the second kind associated with random variables

Fuzzy Parameterized CR-Fuzzy Soft Sets and Some Set Operations

A Modified Similarity Measure for Continuous Function Valued Intuitionistic Fuzzy Sets and An Application on Classification

Energy spectrum for Scarf-Grosche potential

Some Inequalities for Riesz Potential on Homogeneous Variable Exponent Herz-Morrey-Hardy Spaces

Fixed Point Results of Contractive Mappings Under Simulation Function in Metric Spaces

Completely Monotone Invariance of Smoothing via Central Vector Lattice Differences

Spectrum Density Estimation of Sample Covariance Matrices with Correlated Entries

Modelling of Count Data in Circular Statistics

Reconstruction of the North Atlantic Double-gyre Circulation with Genetic Programming

On Normal Subgroups of General Linear Groups of Certain $C^*$-Algebras.

Notes:

Description based on publisher supplied metadata and other sources.

ISBN:

3-031-93279-X

9783031932793

OCLC:

1574115721