Weighted Approximation of $r$-Monotone Functions on the Real Line by Bernstein Operators
Anal. Theory Appl., 27 (2011), pp. 239-250.
Published online: 2011-08
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@Article{ATA-27-239,
author = {Laiyi Zhu, Xiaojie Zhu and Xing Liu},
title = {Weighted Approximation of $r$-Monotone Functions on the Real Line by Bernstein Operators},
journal = {Analysis in Theory and Applications},
year = {2011},
volume = {27},
number = {3},
pages = {239--250},
abstract = {
In this paper, we give error estimates for the weighted approximation of $r$-monotone functions on the real line with Freud weights by Bernstein-type operators.
}, issn = {1573-8175}, doi = {https://doi.org/10.1007/s10496-011-0239-8}, url = {http://global-sci.org/intro/article_detail/ata/4597.html} }
TY - JOUR
T1 - Weighted Approximation of $r$-Monotone Functions on the Real Line by Bernstein Operators
AU - Laiyi Zhu, Xiaojie Zhu & Xing Liu
JO - Analysis in Theory and Applications
VL - 3
SP - 239
EP - 250
PY - 2011
DA - 2011/08
SN - 27
DO - http://doi.org/10.1007/s10496-011-0239-8
UR - https://global-sci.org/intro/article_detail/ata/4597.html
KW - Freud weight, $r$-monotone function, Bernstein-type operator.
AB -
In this paper, we give error estimates for the weighted approximation of $r$-monotone functions on the real line with Freud weights by Bernstein-type operators.
Laiyi Zhu, Xiaojie Zhu and Xing Liu. (2011). Weighted Approximation of $r$-Monotone Functions on the Real Line by Bernstein Operators.
Analysis in Theory and Applications. 27 (3).
239-250.
doi:10.1007/s10496-011-0239-8
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