Mean convergence of orthogonal series and Lagrange interpolation
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Publication:5666976
DOI10.1007/BF01889904zbMath0253.41003MaRDI QIDQ5666976
Publication date: 1972
Published in: Acta Mathematica Academiae Scientiarum Hungaricae (Search for Journal in Brave)
Related Items (38)
A lower bound for projection operators on \(L^ 1(-1,1)\) ⋮ Necessary conditions for weighted mean convergence of Fourier series in orthogonal polynomials ⋮ Géza Freud, orthogonal polynomials and Christoffel functions. A case study ⋮ Mean convergence of Lagrange interpolation for Freud's weights with application to product integration rules ⋮ Sidon-type inequalities for Legendre polynomials ⋮ Full quadrature sums for \(p\)th powers of polynomials with Freud weights ⋮ On \(L_ p\)-convergence of nonpolynomial interpolation ⋮ An analogue of a problem of P. Erdős and E. Feldheim on \(L_ p\) convergence of interpolatory processes ⋮ Pseudospectral Legendre-based optimal computation of nonlinear constrained variational problems ⋮ Mean convergence of Lagrange interpolation. I ⋮ Note on mean convergence of Lagrange parabolas ⋮ Marcinkiewicz-Zygmund inequalities and the numerical approximation of singular integrals for exponential weights: Methods, results and open problems, some new, some old ⋮ On some open problems of approximation theory ⋮ Mean convergence of Lagrange interpolation. II ⋮ V. A. Steklov's problem in the theory of orthogonal polynomials ⋮ A note on the mean convergence of Lagrange interpolation ⋮ A Cohen type inequality for ultraspherical series ⋮ A cell-averaging chebyshev spectral method for nonlinear fredholm-hammerstein integral equations ⋮ Mean Convergence of Lagrange Interpolation. III ⋮ A survey on mean convergence of interpolatory processes ⋮ Convergence in the mean of the Fourier series in orthogonal polynomials ⋮ On the divergence in rth mean of a class of eigenfunction expansions ⋮ Direct solution of a type of constrained fractional variational problems via an adaptive pseudospectral method ⋮ Generalized Gegenbauer orthogonal polynomials ⋮ Nonlinear Periodic Optimal Control: A Pseudospectral Fourier Approach ⋮ Mean convergence of Lagrange interpolation ⋮ Chebyshev spectral solution of nonlinear Volterra-Hammerstein integral equations ⋮ On the numerical evaluation of singular integrals ⋮ Summability of Jacobi Series ⋮ Lagrange interpolation — decline and fall?† ⋮ A mixed scheme of product integration rules in \((-1,1)\) ⋮ Numerical solvability of nonlinear problems of the calculus of variations ⋮ In memoriam Paul Erdős (1913-1996) ⋮ A sequence of linear polynomial operators and their approximation- theoretic proxperties ⋮ Norm estimates for \((C,\delta)\) means of Hermite expansions and bounds for \(\delta_{eff}\) ⋮ Mean convergence of Hermite-Fejér interpolation ⋮ Expansions in Legendre polynomials and Lagrange interpolation ⋮ Some Erdős-Feldheim type theorems on mean convergence of Lagrange interpolation
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