Approximation of Analytic Functions by Chebyshev Functions

We solve the inhomogeneous Chebyshev's differential equation and apply this result for approximating analytic functions by the Chebyshev functions.

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Main Authors: Soon-Mo Jung, Themistocles M. Rassias
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2011/432961
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author Soon-Mo Jung
Themistocles M. Rassias
author_facet Soon-Mo Jung
Themistocles M. Rassias
author_sort Soon-Mo Jung
collection DOAJ
description We solve the inhomogeneous Chebyshev's differential equation and apply this result for approximating analytic functions by the Chebyshev functions.
format Article
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institution Kabale University
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language English
publishDate 2011-01-01
publisher Wiley
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series Abstract and Applied Analysis
spelling doaj-art-7037649a7c5141f5b4d9d36c219bd7402025-02-03T05:45:14ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/432961432961Approximation of Analytic Functions by Chebyshev FunctionsSoon-Mo Jung0Themistocles M. Rassias1Mathematics Section, College of Science and Technology, Hongik University, Jochiwon 339-701, Republic of KoreaDepartment of Mathematics, National Technical University of Athens, Zografou Campus, 15780 Athens, GreeceWe solve the inhomogeneous Chebyshev's differential equation and apply this result for approximating analytic functions by the Chebyshev functions.http://dx.doi.org/10.1155/2011/432961
spellingShingle Soon-Mo Jung
Themistocles M. Rassias
Approximation of Analytic Functions by Chebyshev Functions
Abstract and Applied Analysis
title Approximation of Analytic Functions by Chebyshev Functions
title_full Approximation of Analytic Functions by Chebyshev Functions
title_fullStr Approximation of Analytic Functions by Chebyshev Functions
title_full_unstemmed Approximation of Analytic Functions by Chebyshev Functions
title_short Approximation of Analytic Functions by Chebyshev Functions
title_sort approximation of analytic functions by chebyshev functions
url http://dx.doi.org/10.1155/2011/432961
work_keys_str_mv AT soonmojung approximationofanalyticfunctionsbychebyshevfunctions
AT themistoclesmrassias approximationofanalyticfunctionsbychebyshevfunctions