On Approximation by Reciprocals of Polynomials with Positive Coefficients
Year: 2013
Analysis in Theory and Applications, Vol. 29 (2013), Iss. 2 : pp. 149–157
Abstract
In order to study the approximation by reciprocals of polynomials with real coefficients, one always assumes that the approximated function has a fixed sign on the given interval. Sometimes, the approximated function is permitted to have finite sign changes, such as l(l≥1) times. Zhou Songping has studied the case l=1 and l≥2 in Lp spaces in order of priority. In this paper, we studied the case l≥2 in Orlicz spaces by using the function extend, modified Jackson kernel, Hardy-Littlewood maximal function, Cauchy-Schwarz inequality, and obtained the Jackson type estimation.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.2013.v29.n2.6
Analysis in Theory and Applications, Vol. 29 (2013), Iss. 2 : pp. 149–157
Published online: 2013-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 9
Keywords: Approximation polynomial Steklov function Orlicz space modulus of continuity.
Author Details
Lian Hai Email
Garidi Wu Email