Approximation of Analytic Functions by Universal Vallee-Poussin Sums on the Chebyshev Polynomials

As it is known, Chebyshev polynomials provide the best uniform approach of a function. They are a special case of Faber polynomials. A. I. Shvay (1973) proved that the Vallee-Poussin sums are the best approach apparatus in comparison with the partial sums of the series in the Faber polynomials. Ther...

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Principais autores:	L.K. Dodunova, A.A. Ageikin
Formato:	Artigo
Idioma:	Inglês
Publicado em:	Irkutsk State University 2018-06-01
coleção:	Известия Иркутского государственного университета: Серия "Математика"
Assuntos:	Vallee-Poussin sums Chebyshev polynomials universal series uniform approach
Acesso em linha:	http://mathizv.isu.ru/journal/downloadArticle?article=_1ae6756b07e24f20ab0b8e8a3e502822&lang=eng
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