Muntz Rational Approximation for Special Function Classes in Orlicz Spaces

Using the method of construction, with the help of inequalities, we research the Muntz rational approximation of two kinds of special function classes, and give the corresponding estimates of approximation rates of these classes under widely con- ditions. Because of the Orlicz Spaces is bigger than...

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Bibliographic Details
Published inAnalysis in theory & applications Vol. 33; no. 1; pp. 20 - 28
Main Author Wu, R. F. Yu and G.
Format Journal Article
LanguageChinese
English
Published School of Mathematical Sciences, Inner Mongolia Normal University, Hohhot 010022,China 01.06.2017
Subjects
bounded variation function class
Orlicz space
Muntz rational approximation
Sobolev function class
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Summary:Using the method of construction, with the help of inequalities, we research the Muntz rational approximation of two kinds of special function classes, and give the corresponding estimates of approximation rates of these classes under widely con- ditions. Because of the Orlicz Spaces is bigger than continuous function space and the Lp space, so the results of this paper has a certain expansion significance.
Bibliography:32-1631/O1
Using the method of construction, with the help of inequalities, we research the Muntz rational approximation of two kinds of special function classes, and give the corresponding estimates of approximation rates of these classes under widely con- ditions. Because of the Orlicz Spaces is bigger than continuous function space and the Lp space, so the results of this paper has a certain expansion significance.
Muntz rational approximation, bounded variation function class, Sobolev functionclass, Orlicz space.
ISSN:1672-4070
1573-8175
DOI:10.4208/ata.2017.v33.n1.3