A Dunkl Analogue of Operators Including Two-Variable Hermite polynomials

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AKTAŞ R., ÇEKİM B., Tasdelen F.

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, vol.42, no.5, pp.2795-2805, 2019 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 42 Issue: 5
  • Publication Date: 2019
  • Doi Number: 10.1007/s40840-018-0631-z
  • Journal Name: BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.2795-2805
  • Keywords: Dunkl analogue, Hermite polynomial, Modulus of continuity, Korovkin's type approximation theorem, CONVERGENCE
  • Gazi University Affiliated: Yes

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 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.