Norm estimates for \((C,\delta)\) means of Hermite expansions and bounds for \(\delta_{eff}\)

DOI10.1007/BF01958018zbMath0538.42012MaRDI QIDQ793264

Clemens Markett

Publication date: 1984

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

zbMATH Keywords

Cesàro meansweightLaguerre expansionChristoffel-Darboux formulamean convergence of Hermite expansions

Mathematics Subject Classification ID

Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (6)

Summability of Hermite Expansions. I ⋮ Non compact estimation of the conditional density from direct or noisy data ⋮ Quasikonvexe Multiplikatoren starker Konvergenz ⋮ Sobolev-Hermite versus Sobolev nonparametric density estimation on \(\mathbb{R}\) ⋮ Asymptotic growth of Hermite series and an application to the theory of the Riemann zeta function ⋮ Mean Cesaro summability of Laguerre expansions and norm estimates with shifted parameter

Cites Work

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• Mean Cesaro summability of Laguerre expansions and norm estimates with shifted parameter
• On summation processes of Fourier expansions in Banach spaces. I: Comparison theorems
• The Lebesgue Constants for Jacobi Series, I
• Mean Convergence of Expansions in Laguerre and Hermite Series
• On linear processes of approximation (II)
• Norm inequalities for some orthogonal series
• Mean Convergence of Hermite and Laguerre Series. I
• Mean Cesaro Summability of Laguerre and Hermite Series
• Mean convergence of orthogonal series and Lagrange interpolation

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