Convergence in the mean of the Fourier series in orthogonal polynomials

DOI10.1007/BF01147108zbMath0295.42004MaRDI QIDQ1213093

V. M. Badkov

Publication date: 1974

Published in: Mathematical Notes (Search for Journal in Brave)

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Convergence and absolute convergence of Fourier and trigonometric series (42A20)

Related Items

Necessary conditions for weighted mean convergence of Fourier series in orthogonal polynomials, Weak behaviour of Fourier-Jacobi series

Cites Work

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• Boundedness in the mean of orthonormalized polynomials
• On convergence and growth of partial sums of Fourier series
• The mean convergence of orthogonal series. III
• On multipliers preserving convergence of trigonometric series almost everywhere
• Mean Convergence of Jacobi Series
• Mean convergence of orthogonal series and Lagrange interpolation
• The Convergence Almost Everywhere of Legendre Series
• The Mean Convergence of Orthogonal Series. II
• The Mean Convergence of Orthogonal Series