Jain–Durrmeyer operators associated with the inverse Pólya–Eggenberger distribution

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摘要

The present paper deals with the Jain–Durrmeyer operators based on inverse Pólya–Eggenberger distribution. First, we give the moments with the help of Vandermonde convolution formula and then study approximation properties of these operators which include uniform convergence and degree of approximation.

论文关键词:Baskakov operators,Jain operators,Pólya–Eggenberger distribution

论文评审过程:Received 14 July 2015, Revised 15 January 2016, Accepted 13 March 2016, Available online 22 April 2016, Version of Record 22 April 2016.

论文官网地址:https://doi.org/10.1016/j.amc.2016.03.015