Asymptotic expansions of the Lebesgue constants for Jacobi series

DOI10.2140/pjm.1986.122.391zbMath0556.33010OpenAlexW2049487568MaRDI QIDQ761585

C. L. Frenzen, Roderick Wong

Publication date: 1986

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1986.122.391

zbMATH Keywords

Jacobi seriesLebesgue constants for Jacobi seriesLebesgue constants for Laplace seriesLorch's asymptotic expansions of the Lebesgue constantsuniform asymptotic expansions for the Jacobi polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (2)

Asymptotic expansion for the Lebesgue constants of the Walsh system ⋮ Fluctuations of the total number of critical points of random spherical harmonics

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