Approximation properties of a new type Bernstein–Stancu polynomials of one and two variables

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摘要

A new generalization of Bernstein–Stancu type polynomials for one and two variables are constructed and the theorems on convergence and the degree of convergence are established. In addition some numerical examples, corresponding to obtaining results are given.

论文关键词:Bernstein–Stancu type polynomials,Modulus of continuity,Uniform approximation,Rate of convergence,Positive linear operators,Korovkin’s theorem

论文评审过程:Available online 2 February 2010.

论文官网地址:https://doi.org/10.1016/j.amc.2010.01.099