Mean Convergence of Jacobi Series
From MaRDI portal
Publication:5572462
DOI10.2307/2037162zbMath0182.39701OpenAlexW4240527992MaRDI QIDQ5572462
Publication date: 1969
Full work available at URL: https://doi.org/10.2307/2037162
Related Items
Necessary conditions for weighted mean convergence of Fourier series in orthogonal polynomials, Géza Freud, orthogonal polynomials and Christoffel functions. A case study, Sidon-type inequalities for Legendre polynomials, Asymptotic behaviour of orthogonal polynomials relative to measures with mass points, On orthogonal expansions with respect to the generalized Jacobi weight, Unnamed Item, Sobolev-orthogonal systems of functions associated with an orthogonal system, On Mean Convergence of Fourier‐Bessel Series of Negative Order, Weighted norm inequalities for polynomial expansions associated to some measures with mass points, Perturbation of orthogonal Fourier expansions, Weighted Weak Behaviour of Fourier‐Jacobi Series, Mean convergence of Fourier-Akhiezer-Chebyshev series, On convergence of Fourier series in discrete Jacobi–Sobolev spaces, The uniform convergence of Fourier series in a system of polynomials orthogonal in the sense of Sobolev and associated to Jacobi polynomials, Mean convergence of orthogonal series and Lagrange interpolation, Fourier-Laplace series on a sphere, Hardy spaces for Dunkl-Gegenbauer expansions, A Cohen type inequality for Fourier expansions of orthogonal polynomials with a nondiscrete Jacobi-Sobolev inner product, Weak behaviour of Fourier-Jacobi series, Mixed series of Jacobi and Chebyshev polynomials and their discretization, Divergent Jacobi Polynomial Series, Fourier series of Jacobi–Sobolev polynomials, Spectral analysis of the transport equation II. Stability and application to the Milne problem, Some saturation theorems for classical orthogonal expansions. I, Under which conditions is the Jacobi space \(L_{w^{(a,b)} }^p [ - 1,1\) subset of \(L_{w^{(\alpha ,\beta )} }^1 [ - 1,1]\)?], Fourier series for coherent pairs of Jacobi measures, Fourier series of Gegenbauer-Sobolev polynomials, Jacobi-Sobolev orthogonal polynomials: asymptotics for \(N\)-coherence of measures, Generalized Lebesgue constants and the convergence of Fourier-Jacobi series in the spaces \(L_{1,A,B}\), \(L^{p}\)-convergence of Fourier sums with exponential weights on \((-1,1)\), Approximation by families of multipliers for \((C, \alpha)\)-bounded Fourier expansions in locally convex spaces. I: Order-preserving operators, Convergence in the mean of the Fourier series in orthogonal polynomials, Boundedness in the mean of orthonormalized polynomials, Asymptotic properties and Fourier expansions of orthogonal polynomials with a non-discrete Gegenbauer-Sobolev inner product, Some extremal problems of theory of quadrature and approximation of functions, Discrete-continuous Jacobi-Sobolev spaces and Fourier series, The basis property of ultraspherical Jacobi polynomials in a weighted Lebesgue space with variable exponent, The convergence of discrete Fourier-Jacobi series, Riemann-Liouville operator in weighted \(L_p\) spaces via the Jacobi series expansion, Approximation of functions by partial sums of Fourier series in polynomials orthogonal on an interval, Summability of product Jacobi expansions, Fourier-Jacobi expansions in Morrey spaces, Mean and almost everywhere convergence of Fourier-Neumann series, Weighted estimates of singular integrals and their applications, Uniform Analyticity of Orthogonal Projections, Endpoint weak boundedness of some polynomial expansions, The Lebesgue constants for Fourier-Bessel series, mean convergence, and the order of singularity of a Sturm-Liouville equation
Cites Work