The basis property of the Legendre polynomials in the variable exponent Lebesgue space $ L^{p(x)}(-1,1)$

DOI10.1070/SM2009v200n01ABEH003989zbMath1177.33023OpenAlexW2060692113MaRDI QIDQ3630562

I. I. Sharapudinov

Publication date: 2 June 2009

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm2009v200n01abeh003989

zbMATH Keywords

Lebesgue spaceLegendre polynomialbasisvariable exponent

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (4)

Mixed series of Jacobi and Chebyshev polynomials and their discretization ⋮ On basicity of perturbed system of exponents in Lebesgue space with variable summability factor ⋮ The basis property of ultraspherical Jacobi polynomials in a weighted Lebesgue space with variable exponent ⋮ The Convergence of the Fourier–Jacobi Series in Weighted Variable Exponent Lebesgue Spaces

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