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arXiv · 1704.08183

A Dunkl Analogue of Operators Including Two-variable Hermite polynomials

Rabia Aktaş·Bayram Çekim·Fatma Taşdelen
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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.

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Rabia Aktaş, Bayram Çekim, Fatma Taşdelen. 2017-04-14. A Dunkl Analogue of Operators Including Two-variable Hermite polynomials. https://doi.org/10.1007/s40840-018-0631-z

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