Some approximation properties for generalized Srivastava– Gupta operators

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摘要

The present paper deals with a sequence of modified genuine summation-integral type operators, which is a generalization to the work done by Yadav (2014) [18]. In ordinary approximation, we estimate a global result, asymptotic formula of Voronovskaja kind, error estimation in terms of modulus of continuity and also study weighted approximation for the case c∈N∪{0}, which are compared graphically using MATLAB. Further, we discuss the rate of convergence for c=−1.

论文关键词:Modulus of continuity,Forward difference,Peetre K-functional,Weighted approximation,Asymptotic formula,Rate of convergence

论文评审过程:Received 27 May 2015, Revised 22 July 2015, Accepted 28 July 2015, Available online 24 August 2015, Version of Record 24 August 2015.

论文官网地址:https://doi.org/10.1016/j.amc.2015.07.113