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

[摘要] 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.

[学科分类] 电力

[关键词] Szász–Mirakyan operators;Modulus of continuity;Rate of convergence;Dunkl analogue