Direct results for a certain family of summation–integral type operators

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摘要

In the present paper, we establish some local and global direct results for a certain family of summation–integral operators Bn. We also estimate the rate of convergence of Bn(f) for a function f having derivatives of bounded variation.

论文关键词:Linear positive operators,Bounded variation,Total variation,Rate of convergence,Taylor’s expansion,Approximation properties

论文评审过程:Available online 26 January 2007.

论文官网地址:https://doi.org/10.1016/j.amc.2007.01.039