Asymptotic Property of Approximation to xαsgnx by Newman Type Operators
Year: 2011
Author: Qian Zhan, Shusheng Xu
Communications in Mathematical Research , Vol. 27 (2011), Iss. 3 : pp. 193–199
Abstract
The approximation of |x| by rational functions is a classical rational problem. This paper deals with the rational approximation of the function xαsgnx, which equals |x| if α=1. We construct a Newman type operator rn(x) and show min|x|≤1{|xαsgnx−rn(x)|}∼Cn−α2e−√2nα, where C is a constant depending on α.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2011-CMR-19082
Communications in Mathematical Research , Vol. 27 (2011), Iss. 3 : pp. 193–199
Published online: 2011-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 7
Keywords: rational approximation asymptotic property Newman type operator.
Author Details
Qian Zhan Email
Shusheng Xu Email