On Weighted Approximation by Modified Bernstein Operators for Functions with Singularities
Anal. Theory Appl., 30 (2014), pp. 405-416.
Published online: 2014-11
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@Article{ATA-30-405,
author = {D. S. Yu and M. L. Wang},
title = {On Weighted Approximation by Modified Bernstein Operators for Functions with Singularities},
journal = {Analysis in Theory and Applications},
year = {2014},
volume = {30},
number = {4},
pages = {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.
}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2014.v30.n4.8}, url = {http://global-sci.org/intro/article_detail/ata/4505.html} }
TY - JOUR
T1 - On Weighted Approximation by Modified Bernstein Operators for Functions with Singularities
AU - D. S. Yu & M. L. Wang
JO - Analysis in Theory and Applications
VL - 4
SP - 405
EP - 416
PY - 2014
DA - 2014/11
SN - 30
DO - http://doi.org/10.4208/ata.2014.v30.n4.8
UR - https://global-sci.org/intro/article_detail/ata/4505.html
KW - Modified Bernstein operators, weighted approximation, Stechkin inequality.
AB -
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.
D. S. Yu and M. L. Wang. (2014). On Weighted Approximation by Modified Bernstein Operators for Functions with Singularities.
Analysis in Theory and Applications. 30 (4).
405-416.
doi:10.4208/ata.2014.v30.n4.8
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