Open AccessApproximation properties of bivariate Szász Durrmeyer operators via Dunkl analogue
Author(s) -
Nadeem Rao,
Md. Heshamuddin,
Mohd Shadab,
Aradhana 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.