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Volume 33, Issue 1
Muntz Rational Approximation for Special Function Classes in Orlicz Spaces

R. F. Yu & G. Wu

DOI: 10.4208/ata.2017.v33.n1.3

Anal. Theory Appl., 33 (2017), pp. 20-28.

Published online: 2017-01

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  • Abstract

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 wide conditions. Because the Orlicz Spaces is bigger than continuous function space and the Lp space, the results of this paper has a certain expansion significance.

  • Keywords

Muntz rational approximation, bounded variation function class, Sobolev function class, Orlicz space.

  • AMS Subject Headings

41A25, 43A90

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{ATA-33-20, author = {R. F. Yu and G. Wu}, title = {Muntz Rational Approximation for Special Function Classes in Orlicz Spaces}, journal = {Analysis in Theory and Applications}, year = {2017}, volume = {33}, number = {1}, pages = {20--28}, abstract = {

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 wide conditions. Because the Orlicz Spaces is bigger than continuous function space and the Lp space, the results of this paper has a certain expansion significance.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2017.v33.n1.3}, url = {http://global-sci.org/intro/article_detail/ata/4613.html} }
TY - JOUR T1 - Muntz Rational Approximation for Special Function Classes in Orlicz Spaces AU - R. F. Yu & G. Wu JO - Analysis in Theory and Applications VL - 1 SP - 20 EP - 28 PY - 2017 DA - 2017/01 SN - 33 DO - http://doi.org/10.4208/ata.2017.v33.n1.3 UR - https://global-sci.org/intro/article_detail/ata/4613.html KW - Muntz rational approximation, bounded variation function class, Sobolev function class, Orlicz space. AB -

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 wide conditions. Because the Orlicz Spaces is bigger than continuous function space and the Lp space, the results of this paper has a certain expansion significance.

R. F. Yu and G. Wu. (2017). Muntz Rational Approximation for Special Function Classes in Orlicz Spaces. Analysis in Theory and Applications. 33 (1). 20-28. doi:10.4208/ata.2017.v33.n1.3
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