A Dunkl Analogue of Operators Including Two-Variable Hermite polynomials
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, vol.42, no.5, pp.2795-2805, 2019 (SCI-Expanded, Scopus)
- 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
- Open Archive Collection: AVESIS Open Access Collection
- 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.