Approximation of analytic functions by universal Vallee-Poussin sums on the Chebyshev polynomials

DOI10.26516/1997-7670.2018.24.12zbMath1409.40002OpenAlexW2810121951WikidataQ129614212 ScholiaQ129614212MaRDI QIDQ1717388

Lyudmila Kuz'minichna Dodunova, Artem Aleksandrovich Ageĭkin

Publication date: 5 February 2019

Published in: Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika (Search for Journal in Brave)

Full work available at URL: http://mathizv.isu.ru/journal/downloadArticle?article=_1ae6756b07e24f20ab0b8e8a3e502822&lang=eng

zbMATH Keywords

Chebyshev polynomialsuniversal seriesuniform approachVallee-Poussin sums

Mathematics Subject Classification ID

Convergence and divergence of series and sequences of functions (40A30) Approximation in the complex plane (30E10) Special sequences and polynomials (11B83) Convergence and divergence of integrals (40A10)

Cites Work

• De la Vallée-Poussin means of Fourier series for quadratic spectrum and power density spectra
• Über den Satz von Mergelyan
• Approximation of analytical functions by the Vallée-Poussin sums
• Summation of the universal series on the Chebyshev polynomials
• Approximation properties of the Vallée-Poussin means of partial sums of a mixed series of Legendre polynomials
• Universal trigonometric series
• Approximation by overconvergence of a power series
• UNIVERSAL FABER SERIES
• On limit functions of trigonometric series
• Approximation of Analytic Functions by Universal Vallee-Poussin Sums on the Chebyshev Polynomials
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