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 - <p style="text-align: justify;">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.</p>