Pointwise approximation by Bernstein type operators in mobile interval

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摘要

In the present paper, we study pointwise approximation by Bernstein–Durrmeyer type operators in the mobile interval x∈0,1-1n+1, with use of Peetre’s K-functional and ωφλ2(f,t)(0⩽λ⩽1), we give its properties and obtain the direct and inverse theorems for these operators.

论文关键词:Bernstein operators,Pointwise approximation,Rate of convergence

论文评审过程:Available online 2 August 2014.

论文官网地址:https://doi.org/10.1016/j.amc.2014.07.034