Statistical approximation for new positive linear operators of Lagrange type

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摘要

In this paper, we prove some approximation results in statistical sense and establish some direct theorems for the positive linear operators constructed by the means of Lagrange type polynomials. We compute error estimation by using modulus of continuity with the help of Matlab and give its algorithm. Furthermore, we show graphically the convergence of our operators to various functions.

论文关键词:Lagrange polynomial,A-statistical convergence,Positive linear operators,Modulus of continuity,Error estimate,Peetre’s K-functional,Lipschitz class

论文评审过程:Available online 15 February 2014.

论文官网地址:https://doi.org/10.1016/j.amc.2014.01.093