Posts by Octavian Agratini

Abstract

In this note, we spotlight a generalization of Weierstrass integral operators introduced by Eugeniusz Wachnicki. The construction involves modified Bessel functions. The operators are correlated with diffusion equation. Our main result consists in obtaining the asymptotic expansion of derivatives of any order of Wachnicki’s operators. All coefficients are explicitly calculated, and distinct expressions are provided for analytical functions

Authors

Ulrich Abel
Fachbereich MND, Technische Hochschule Mittelhessen, Wilhelm-Leuschner-Strasse 13, 61169, Friedberg, Germany

Octavian Agratini
Faculty of Mathematics and Computer Science, Babeş-Bolyai University, Cluj-Napoca, Romania
Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy, Cluj-Napoca, Romania

Keywords

Gauss–Weierstrass operator; Bessel function; Gamma function; hypergeometric function; asymptotic expansion

Paper coordinates

U. Abel, O. Agratini, Simultaneous approximation by Gauss-Weierstrass-Wachnicki operators, Mediterr. J. Math., 19 (2022), art. no. 267, https://doi.org/10.1007/s00009-022-02194-0

PDF

About this paper

Journal

Mediterranean Journal of Mathematics

Publisher Name

Springer

Print ISSN

1660-5446

Online ISSN

1660-5454

google scholar link

Related Posts

Shift λ-Invariant Operators

AbstractThe present note is devoted to a generalization of the notion of shift invariant operators that we call it λ-invariant…