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Approximation Theory and Special Functions: ATSF 2024, Ankara, Türkiye, September 47 [Kietas viršelis]

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  • Formatas: Hardback, 500 pages, aukštis x plotis: 235x155 mm, 20 Illustrations, color; 30 Illustrations, black and white; Approx. 500 p. 50 illus., 20 illus. in color., 1 Hardback
  • Serija: Springer Proceedings in Mathematics & Statistics 503
  • Išleidimo metai: 08-Aug-2025
  • Leidėjas: Springer International Publishing AG
  • ISBN-10: 3031932781
  • ISBN-13: 9783031932786
Kitos knygos pagal šią temą:
  • Formatas: Hardback, 500 pages, aukštis x plotis: 235x155 mm, 20 Illustrations, color; 30 Illustrations, black and white; Approx. 500 p. 50 illus., 20 illus. in color., 1 Hardback
  • Serija: Springer Proceedings in Mathematics & Statistics 503
  • Išleidimo metai: 08-Aug-2025
  • Leidėjas: Springer International Publishing AG
  • ISBN-10: 3031932781
  • ISBN-13: 9783031932786
Kitos knygos pagal šią temą:
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.
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 Meijiers
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.
Oktay Duman is a faculty member at TOBB Economics and Technology University, Ankara, Türkiye. He currently serves as the Dean of the Faculty of Arts and Sciences and as the Head of the Department of Mathematics at the same institution. He earned his PhD in Mathematics from Ankara University, Türkiye, in 2003, and he had a visiting period at the University of Central Florida, USA, in 2016. In recognition of his contributions to approximation theory, he was elected as a Full Member of the Turkish Academy of Sciences in 2020.







Esra Erkus-Duman is a Full Professor at Ankara University, Türkiye, with a PhD and a Master's degree in Mathematics obtained in 2005 from the same university. Previously, she held positions as an Associate Professor (2010-2017) and an Assistant Professor (2007-2010) at Gazi University, Türkiye. In 2015, she was a visiting professor at the University of Central Florida, USA. Her research focuses on special functions.