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On Weighted Approximation by Modified Bernstein Operators for Functions with Singularities

On Weighted Approximation by Modified Bernstein Operators for Functions with Singularities
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摘要 Della Vecchia et al. (see [2]) introduced a kind of modified Bernstein operators which can be used to approximate functions with singularities at endpoints on [0,1]. In the present paper, we obtain a kind of pointwise Stechkin-type inequalities for weighted approximation by the modified Bemsetin operators. Della Vecchia et al. (see [2]) introduced a kind of modified Bernstein operators which can be used to approximate functions with singularities at endpoints on [0,1]. In the present paper, we obtain a kind of pointwise Stechkin-type inequalities for weighted approximation by the modified Bemsetin operators.
出处 《Analysis in Theory and Applications》 2014年第4期405-416,共12页 分析理论与应用(英文刊)
关键词 Modified Bernstein operators weighted approximation Stechkin inequality. Modified Bernstein operators, weighted approximation, Stechkin inequality.
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