Some Erdős-Feldheim type theorems on mean convergence of Lagrange interpolation

DOI10.1016/0022-247X(83)90092-6zbMath0577.41006MaRDI QIDQ1066023

A. K. Varma, Péter Vértesi

Publication date: 1983

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

weight functionLagrange interpolation polynomials

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Approximation by polynomials (41A10)

Related Items (18)

Some norms estimates of hermite type interpolation operators ⋮ Nonsaturable quadrature formulas on an interval (on Babenko's problem) ⋮ On \(L_ p\)-convergence of nonpolynomial interpolation ⋮ Exponential convergence of an approximation problem for infinitely differentiable multivariate functions ⋮ Gaussian quadrature formulae of the third kind for Cauchy principal value integrals: Basic properties and error estimates ⋮ An analogue of a problem of P. Erdős and E. Feldheim on \(L_ p\) convergence of interpolatory processes ⋮ The average errors for Hermite-Fejér interpolation on the Wiener space ⋮ Peculiarities of the numerical realization of unsaturated quadrature formulas on a finite interval ⋮ A note on the mean convergence of Lagrange interpolation ⋮ The problem of constructing unsaturated quadrature formulae on an interval ⋮ Mean Convergence of Lagrange Interpolation. III ⋮ The average errors for Lagrange interpolation on the Wiener space ⋮ On weak tractability of the Smolyak algorithm for approximation problems ⋮ THE SIMULTANEOUS APPROXIMATION OF QUASI-HERMITE INTERPOLATION ON THE WEIGHTED MEAN NORM ⋮ On the question of good conditionality of unsaturated quadrature formulas ⋮ Erdös-Turán mean convergence theorem for Lagrange interpolation at Lobatto points ⋮ Mean convergence rate of derivatives by Lagrange interpolation on Chebyshev grids ⋮ Mean convergence of Hermite-Fejér interpolation

Cites Work

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• Mean convergence of Lagrange interpolation. I
• Note on mean convergence of Lagrange parabolas
• Some new characterizations of the Chebyshev polynomials
• Summability of Jacobi Series
• Lagrange interpolation for continuous functions of bounded variation
• Mean convergence of orthogonal series and Lagrange interpolation

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