On the Convergence of Fourier Series with Orthogonal Polynomials inside and on the Closure of a Region

descriptionPublicationkeyboard_double_arrow_right Article 01 Oct 2002 Turkey English Publisher:Springer Science and Business Media LLCJournal:Ukrainian Mathematical Journal, volume 54, pages 1,567-1,582 (issn: 0041-5995, eissn: 1573-9376,

Copyright policy )

Authors: Abdullaev F.G.; Küçükaslan M.;

doi: 10.1023/a:1023705500910

handle: 20.500.12605/18130

On the Convergence of Fourier Series with Orthogonal Polynomials inside and on the Closure of a Region

- Summary
- Subjects
- Metrics

Abstract

Summary: We study the rate of convergence of the Fourier series of orthogonal polynomials over an area inside and on the closure of regions of the complex plane.

Country

Turkey

Related Organizations

Cukurova University
Turkey
Mersin University
Turkey

Keywords

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Convergence and absolute convergence of Fourier and trigonometric series, Miscellaneous topics of analysis in the complex plane, ????????????, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, Fourier series, orthogonal polynomials, rate of convergence

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	1
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average