A lower estimate for the Lebesgue constants of linear means of Laguerre expansions

DOI10.1007/BF03322040zbMath0946.42021MaRDI QIDQ1266937

Walter Trebels, George Gasper

Publication date: 15 October 2000

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

zbMATH Keywords

Lebesgue constantsLaguerre polynomialsweighted Lebesgue spaceslinear means

Mathematics Subject Classification ID

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) Difference operators (39A70) Multipliers in one variable harmonic analysis (42A45)

Related Items (1)

Shifted Jacobi multiplier sequences and transplantation between sine and cosine series

Cites Work

• Mean Cesaro summability of Laguerre expansions and norm estimates with shifted parameter
• A transplantation theorem for Laguerre series
• On a lower estimate of the Lebesgue function of linear means of Fourier- Jacobi series
• Cohen Type Inequalities for Jacobi, Laguerre and Hermite Expansions
• On Necessary Multiplier Conditions for Laguerre Expansions
• Mean Convergence of Expansions in Laguerre and Hermite Series
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