Open AccessApproximation by Szász-Jakimovski-Leviatan-Type Operators via Aid of Appell Polynomials
Author(s) -
Md. Nasiruzzaman,
Abdulrahman F. Aljohani
Publication year - 2020
Publication title -
journal of function spaces
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.579
H-Index - 28
eISSN - 2314-8896
pISSN - 2314-8888
DOI - 10.1155/2020/9657489
Subject(s) - modulus of continuity , bivariate analysis , mathematics , type (biology) , convergence (economics) , lipschitz continuity , order (exchange) , pure mathematics , algebra over a field , statistics , ecology , finance , economics , biology , economic growth
The main purpose of the present article is to construct a newly Szász-Jakimovski-Leviatan-type positive linear operators in the Dunkl analogue by the aid of Appell polynomials. In order to investigate the approximation properties of these operators, first we estimate the moments and obtain the basic results. Further, we study the approximation by the use of modulus of continuity in the spaces of the Lipschitz functions, Peetres K-functional, and weighted modulus of continuity. Moreover, we study A -statistical convergence of operators and approximation properties of the bivariate case.