Approximation on a class of Szász–Mirakyan operators via second kind of beta operators

Abstract

In the present article, we construct a new sequence of positive linear operators via Dunkl analogue of modified Szász-Durrmeyer operators. We study the moments and basic results. Further, we investigate the pointwise approximation and uniform approximation results in various functional spaces for these sequences of positive linear operators. Finally, we prove the global approximation and A-statistical convergence results for these operators.

Approximation properties by Bézier variant of the Baskakov–Schurer–Szász–Stancu operators

“…Also given is their behavior related to the kind of modulus of continuity and smoothness. For recent developments in this direction, we refer to [1][2][3][4][5][6][7][8].…”

Statistical Convergence via q-Calculus and a Korovkin’s Type Approximation Theorem

“…The q-analogs of Bernstein operators and other operators significantly lead to more general results on approximations and show a better rate of convergence than the respective classical operators [13]. Recently, approximation properties for Bernstein operators and their different generalizations have been studied in [14][15][16][17][18][19][20][21].…”