English

A Dunkl Analogue of Operators Including Two-variable Hermite polynomials

Classical Analysis and ODEs 2020-04-21 v1

Abstract

The aim of this paper is to introduce a Dunkl generalization of the operators including two variable Hermite polynomials which are defined by Krech [14](Krech, G. A note on some positive linear operators associated with the Hermite polynomials, Carpathian J. Math., 32 (1) (2016), 71--77) and to investigate approximating properties for these operators by means of the classical modulus of continuity, second modulus of continuity and Peetre's K-functional.

Keywords

Cite

@article{arxiv.1704.08183,
  title  = {A Dunkl Analogue of Operators Including Two-variable Hermite polynomials},
  author = {Rabia Aktaş and Bayram Çekim and Fatma Taşdelen},
  journal= {arXiv preprint arXiv:1704.08183},
  year   = {2020}
}
R2 v1 2026-06-22T19:28:39.035Z