Approximation properties of bivariate Szász Durrmeyer operators via Dunkl analogue | Zendy

Nadeem Rao | Zendy; Md Heshamuddin | Zendy; Mohd Shadab | Zendy; Anshul Srivastava | Zendy

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Approximation properties of bivariate Szász Durrmeyer operators via Dunkl analogue

Author(s) -

Nadeem Rao,

Md Heshamuddin,

Mohd Shadab,

Anshul Srivastava

Publication year - 2021

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil2113515r

Subject(s) - mathematics , bivariate analysis , modulus of continuity , lipschitz continuity , type (biology) , order (exchange) , modulus , sequence (biology) , pure mathematics , mathematical analysis , statistics , geometry , ecology , genetics , finance , economics , biology

In the present article, we construct a new sequence of bivariate Sz?sz-Durrmeyer operators based on Dunkl analogue. We investigate the order of approximation with the aid of modulus of continuity in terms of well known Peetre?s K-functional, weighted approximation results, Voronovskaja type theorems and Lipschitz maximal functions. Further, we also discuss here the approximation properties of the operators in B?gel-spaces by use of mixed-modulus of continuity.

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