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 = {},
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
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 & M. L. Wang. (1970). 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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