Approximation on bivariate parametric-extension of Baskakov-Durrmeyer-operators | Zendy

Md. Nasiruzzaman | Zendy; Nadeem Rao | Zendy; Manish Kumar | Zendy; Ravi Kumar | Zendy

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Approximation on bivariate parametric-extension of Baskakov-Durrmeyer-operators

Author(s) -

Md. Nasiruzzaman,

Nadeem Rao,

Manish Kumar,

Ravi Kumar

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/fil2108783n

Subject(s) - mathematics , modulus of continuity , bivariate analysis , generalization , lipschitz continuity , parametric statistics , extension (predicate logic) , order (exchange) , type (biology) , mathematical analysis , pure mathematics , statistics , ecology , finance , computer science , economics , biology , programming language

The main purpose of this article is to study the bivariate approximation generalization for Baskakov-Durrmeyer-operators with the aid of non-negative parametric variants suppose 0 ? ?1,?2 ? 1. We obtain the order of approximation by use of the modulus of continuity in terms of well known Peetre?s K-functional, 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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