Certain new classes of Durrmeyer type operators

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摘要

In the present paper, we estimate the rate of convergence for functions having bounded derivatives for certain Durrmeyer type generalization of Jain and Pethe operators. In the last section, we also propose a new modification of the Lupaş operators and study some direct results. We also give some open problems for the readers.

论文关键词:Durrmeyer type operators,Hypergeometric function,Confluent Hypergeometric function,Voronovskaja type asymptotic formula,Modulus of continuity,Weighted approximation

论文评审过程:Available online 15 October 2013.

论文官网地址:https://doi.org/10.1016/j.amc.2013.09.030