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

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.

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Bibliographic Details
Published inIndian journal of pure and applied mathematics Vol. 53; no. 3; pp. 727 - 735
Main Authors Çekim, Bayram, Aktaş, Rabia, Taşdelen, Fatma
Format Journal Article
LanguageEnglish
Published New Delhi Indian National Science Academy 01.09.2022
Springer Nature B.V
Subjects
Applications of Mathematics
Hermite polynomials
Mathematics
Mathematics and Statistics
Numerical Analysis
Original Research
Hermite polynomial
functional
41A36
Dunkl exponential
Peetre’s
Secondary 33C45
Gamma function
Primary 41A25
Modulus of continuity
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Summary: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.
ISSN:0019-5588
0975-7465
DOI:10.1007/s13226-021-00167-9