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The Simultaneous Approximation Average Errors for Bernstein Operators on the r-Fold Integrated Wiener Space

Published online by Cambridge University Press:  28 May 2015

Guiqiao Xu
Guiqiao Xu*
Affiliation:
Department of Mathematics, Tianjin Normal University, Tianjin, 300387, China
*
*Corresponding author.Email address:Xuguiqiao@eyou.com
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Abstract

For weighted approximation in Lp-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.

Keywords

41A2865D0541A25Bernstein operatorsweighted Lp-normr-fold integrated Wiener spaceaverage error

Information

Type
Research Article
Information
Numerical Mathematics: Theory, Methods and Applications , Volume 5 , Issue 3 , August 2012 , pp. 403 - 422
Copyright
Copyright © Global Science Press Limited 2012

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