Uniform convergence of Fourier--Jacobi series.

DOI10.1006/JATH.2002.3697zbMath1040.42021OpenAlexW2023358350MaRDI QIDQ1867499

George Kvernadze

Publication date: 2 April 2003

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.2002.3697

zbMATH Keywords

uniform convergencegeneralized bounded variationFourier-Jacobi series

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) General harmonic expansions, frames (42C15)

Related Items (4)

Fractal Jacobi systems and convergence of Fourier-Jacobi expansions of fractal interpolation functions ⋮ Weighted approximation for the generalized discrete Fourier-Jacobi transform on space \(L_p(\mathbb{T})\) ⋮ On approximations for functions in the space of uniformly convergent Fourier series ⋮ Dirichlet Theorem for Jacobi-Dunkl Expansions

Cites Work

• Uniform convergence of the Fourier-Jacoby series on the orthogonality segment
• Approximations of functions in the uniform metric by Fourier sums of orthogonal polynomials
• The uniform convergence of Fourier series in orthogonal polynomials
• Estimates of Lebesgue functions and remainders of Fourier-Jacobi series
• Generalized variation, the Banach indicatrix, and the uniform convergence of Fourier series
• On the Classes ΛBV and V [ ν]
• On the summability of Fourier series of functions of Λ-bounded variation
• ON UNIFORM CONVERGENCE OF FOURIER SERIES
• On convergence of Fourier series of functions of generalized bounded variation
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