The Simultaneous Approximation Average Errors for Bernstein Operators on the $r$-Fold Integrated Wiener Space
Numer. Math. Theor. Meth. Appl., 5 (2012), pp. 403-422.
Published online: 2012-05
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@Article{NMTMA-5-403,
author = {Guiqiao Xu},
title = {The Simultaneous Approximation Average Errors for Bernstein Operators on the $r$-Fold Integrated Wiener Space},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2012},
volume = {5},
number = {3},
pages = {403--422},
abstract = {
For weighted approximation in $L_p$ -norm, we determine strongly asymptotic orders for the average errors of both function approximation and derivative approximation by the Bernstein operators sequence on the $r$-fold integrated Wiener space.
}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.2012.m11006}, url = {http://global-sci.org/intro/article_detail/nmtma/5944.html} }
TY - JOUR
T1 - The Simultaneous Approximation Average Errors for Bernstein Operators on the $r$-Fold Integrated Wiener Space
AU - Guiqiao Xu
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 3
SP - 403
EP - 422
PY - 2012
DA - 2012/05
SN - 5
DO - http://doi.org/10.4208/nmtma.2012.m11006
UR - https://global-sci.org/intro/article_detail/nmtma/5944.html
KW - Bernstein operators, weighted $L_p$-norm, r-fold integrated Wiener space, average error.
AB -
For weighted approximation in $L_p$ -norm, we determine strongly asymptotic orders for the average errors of both function approximation and derivative approximation by the Bernstein operators sequence on the $r$-fold integrated Wiener space.
Guiqiao Xu. (2012). The Simultaneous Approximation Average Errors for Bernstein Operators on the $r$-Fold Integrated Wiener Space.
Numerical Mathematics: Theory, Methods and Applications. 5 (3).
403-422.
doi:10.4208/nmtma.2012.m11006
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