On approximation properties of Fourier series in Jacobi polynomials \(P_n^{\alpha-r,-r}(x)\) orthogonal in the sense of Sobolev

DOI10.1134/S0001434622050170zbMath1492.42031WikidataQ114075386 ScholiaQ114075386MaRDI QIDQ2150616

R. M. Gadzhimirzaev

Publication date: 30 June 2022

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Jacobi polynomialsFourier seriesapproximation propertiesSobolev-type inner product

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Approximation by polynomials (41A10) Trigonometric polynomials, inequalities, extremal problems (42A05)

Cites Work

• Approximation properties of Fourier series of Sobolev orthogonal polynomials with Jacobi weight and discrete masses

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