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Weighted approximation of functions with singularity

Journal: IEIT Journal of Adaptive & Dynamic Computing (Vol.2013, No. 1)

Publication Date:

Authors : ;

Page : 31-36

Keywords : Weighted approximation; Singularities; Moduli of Smoothness; K-functional;

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As an important type of polynomial approximation, approximation of functions by Bernstein operators is an important topic in approximation theory and computational theory. This paper gives global and pointwise estimates for weighted approximation of functions with singularities by Stancu operators ?a kind of generalization of Bernstein operators. The estimates are presented by using the Ditzian-Totik modulus of smoothness ??2,f???? and K-functional.

Last modified: 2013-01-14 16:31:55