Sidon-type inequalities for Legendre polynomials
type: Item
instance of: scholarly article
title: Sidon-type inequalities for Legendre polynomials
zbMATH Open document ID: 0830.42020
DOI: 10.1007/BF01874678
published in: Acta Mathematica Hungarica
publication date: 1995-09-04T00:00:00Z
review text: After the paper by \textit{R. Bojanić} and \textit{Č. V. Stanojević} [Trans. Am. Math. Soc. 269, 677-683 (1982; Zbl 0493.42011)], there has been an explosion of interest in Sidon inequalities and their use to investigate \(L^1\)-convergence of certain types of Fourier series. This paper obtains an analogue of these results for the Legendre-Dirichlet kernels and applies it to obtain integrability conditions for the Legendre-Fourier series of an even function.
Mathematics Subject Classification ID: 42C10
zbMATH DE Number: 792803
zbMATH Keywords: Sidon inequalities
zbMATH Keywords: Legendre-Dirichlet kernels
zbMATH Keywords: integrability
zbMATH Keywords: Legendre- Fourier series
author: Ferenc Schipp
author: László Szili
reviewed by: William R. Wade
MaRDI profile type: Publication
cites work: Mean convergence of orthogonal series and Lagrange interpolation
cites work: Q4712995
cites work: Expansions in Legendre polynomials and Lagrange interpolation
cites work: An inverse Sidon type inequality
cites work: On the integrability and \(L^ 1\)-convergence of Walsh series with coefficients of bounded variation
cites work: Mean Convergence of Jacobi Series
cites work: Mean Convergence of Orthogonal Series
cites work: The Mean Convergence of Orthogonal Series. I
cites work: The Mean Convergence of Orthogonal Series. II
cites work: The mean convergence of orthogonal series. III
cites work: Q4026701
cites work: Q4016595
cites work: On strong summability of polynomial expansions
cites work: Über Fourier-Koeffizienten
cites work: Q3895800
cites work: The Mean Convergence of Orthogonal Series
description: scientific article; zbMATH DE number 792803