A Dunkl-Gamma type operator in terms of generalization of two-variable Hermite polynomials

Bayram Çekim (), Rabia Aktaş () and Fatma Taşdelen ()
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Bayram Çekim: Gazi University
Rabia Aktaş: Ankara University
Fatma Taşdelen: Ankara University

Indian Journal of Pure and Applied Mathematics, 2022, vol. 53, issue 3, 727-735

Abstract: Abstract The goal of this paper is to present a Dunkl-Gamma type operator with the help of generalization of the two-variable Hermite polynomials and to derive its approximating properties via the classical modulus of continuity, second modulus of continuity and Peetre’s K-functional.

Keywords: Dunkl exponential; Hermite polynomial; Gamma function; Modulus of continuity; Peetre’s K-functional; Primary 41A25; 41A36; Secondary 33C45 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s13226-021-00167-9

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