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

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ÇEKİM B., AKTAŞ R., TAŞDELEN YEŞİLDAL F.

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, vol.53, no.3, pp.727-735, 2022 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 53 Issue: 3
  • Publication Date: 2022
  • Doi Number: 10.1007/s13226-021-00167-9
  • Journal Name: INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC, zbMATH
  • Page Numbers: pp.727-735
  • Keywords: Dunkl exponential, Hermite polynomial, Gamma function, Modulus of continuity, Peetre's K-functional, ZELLER OPERATORS, MEYER-KONIG, ANALOG
  • Open Archive Collection: AVESIS Open Access Collection
  • Ankara University Affiliated: Yes

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.