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Approximating Polynomials for Functions of Weighted Smirnov-Orlicz Spaces
Author
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-41, 41 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-02-08
Country of Publication
Egypt
No. of Pages
41
Main Subjects
Abstract EN
Let G0 and G∞ be, respectively, bounded and unbounded components of a plane curve Γ satisfying Dini's smoothness condition.
In addition to partial sum of Faber series of f belonging to weighted Smirnov-Orlicz space EM,ω (G0), we prove that interpolating polynomials and Poisson polynomials are near best approximant for f.
Also considering a weighted fractional moduli of smoothness, we obtain direct and converse theorems of trigonometric polynomial approximation in Orlicz spaces with Muckenhoupt weights.
On the bases of these approximation theorems, we prove direct and converse theorems of approximation, respectively, by algebraic polynomials and rational functions in weighted Smirnov-Orlicz spaces EM,ω(G0) and EM,ω(G∞).
American Psychological Association (APA)
Akgün, Ramazan. 2012. Approximating Polynomials for Functions of Weighted Smirnov-Orlicz Spaces. Journal of Function Spaces،Vol. 2012, no. 2012, pp.1-41.
https://search.emarefa.net/detail/BIM-994273
Modern Language Association (MLA)
Akgün, Ramazan. Approximating Polynomials for Functions of Weighted Smirnov-Orlicz Spaces. Journal of Function Spaces No. 2012 (2012), pp.1-41.
https://search.emarefa.net/detail/BIM-994273
American Medical Association (AMA)
Akgün, Ramazan. Approximating Polynomials for Functions of Weighted Smirnov-Orlicz Spaces. Journal of Function Spaces. 2012. Vol. 2012, no. 2012, pp.1-41.
https://search.emarefa.net/detail/BIM-994273
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-994273