Sobolev orthogonal systems with two discrete points and Fourier series

DOI10.3103/S1066369X21120057zbMath1484.42027OpenAlexW4200007356MaRDI QIDQ2066438

M. G. Magomed-Kasumov

Publication date: 14 January 2022

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x21120057

zbMATH Keywords

uniform convergenceFourier seriesSobolev inner productFaber-Schauder systemcoincidence at ends of segmentcompleteness of Sobolev systemsdiscrete-continuous inner productJacobi polynomials with negative parameters

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Convergence and absolute convergence of Fourier and trigonometric series (42A20)

Related Items (1)

Approximation by polynomials in Sobolev spaces associated with classical moment functionals

Cites Work

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