Approximation by Apostol-Genocchi summation-integral type operators

[摘要] In the present paper, we proposed a new sequence of summation-integral type operators involving Apostol-Genocchi polynomials. We study some approximation results of the proposed operators using first and second-order modulus of continuity, the global rate of convergence using Voronovskaja type asymptotic theorem, Lipschitz-type space, and Ditzian-Totik modulus of smoothness. Lastly, we study the weighted approximation.

[学科分类] 数学（综合）

[关键词] Apostol-Genocchi polynomials;rate of convergence;Ditzian-Totik modulus of smoothness;Voronovskaja-type asymptotic formula;Lipschitz-type space;weighted approximation