On Weighted Approximation by Modified Bernstein Operators for Functions with Singularities

On Weighted Approximation by Modified Bernstein Operators for Functions with Singularities

Year:    2014

Analysis in Theory and Applications, Vol. 30 (2014), Iss. 4 : pp. 405–416

Abstract

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 Bernstein operators.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/ata.2014.v30.n4.8

Analysis in Theory and Applications, Vol. 30 (2014), Iss. 4 : pp. 405–416

Published online:    2014-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:    Modified Bernstein operators weighted approximation Stechkin inequality.