Approximation by Apostol-Genocchi summation-integral type operators

Miskolc Mathematical Notes

article

Chandra Prakash¹  Naokant Deo¹  Durvesh Kumar Verma² 

[1] Delhi Technological University, Department of Mathematics;Miranda House, University of Delhi, Department of Mathematics

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

DOI  :  10.18514/MMN.2023.3848

学科分类：数学（综合）

来源: Miskolci Egyetem

【 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.

【 授权许可】

CC BY