Open AccessApproximation 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.