On the order of approximation by Fejér means of Hermite-Fourier and Laguerre-Fourier series

DOI10.1007/BF01903344zbMath0718.42004MaRDI QIDQ2639287

István Joó

Publication date: 1988

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

zbMATH Keywords

Fourier coefficientsLaguerre-Fourier seriesHermite-Fourier seriesapproximation by Fejér meansHermite-conjugate function

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Approximation by other special function classes (41A30) Conjugate functions, conjugate series, singular integrals (42A50)

Related Items (3)

Some saturation theorems for classical orthogonal expansions. I ⋮ Some saturation theorems for classical orthogonal expansions. II ⋮ On Hermite-Fourier series

Cites Work

• Unnamed Item
• The derivatives and integrals of fractional order in Walsh-Fourier analysis, with applications to approximation theory
• Hermite Conjugate Expansions
• Über die approximationstheoretische Charakterisierung gewisser Funktionenklassen mit Hilfe der Rieszschen Mittel von Fourierreihen
• Conjugate Functions for Laguerre Expansions
• On polynomial approximation with the weight 363-1363-1363-1
• Sur l'ordre de grandeur de l'approximation d'une fonction périodique par les sommes de Fejér

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