The Rapidity of Convergence of the Hermite-Fejer Approximation to Functions of One or Several Variables

DOI10.2307/2035913zbMath0142.31202OpenAlexW4237456995MaRDI QIDQ5517873

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Publication date: 1965

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2035913

zbMATH Keywords

approximation and series expansion

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Global smoothness preservation by bivariate interpolation operators ⋮ An analogue of a problem of P. Erdős and E. Feldheim on \(L_ p\) convergence of interpolatory processes ⋮ On the convergence of the trigonometric (O, M) interpolation ⋮ A link between Lebesgue constants and Hermite-Fejér interpolation ⋮ A new estimate for the approximation of functions by Hermite-Fejer interpolation polynomials ⋮ A linear, robust and convergent interpolatory algorithm for quantifying model uncertainties ⋮ Rate of convergence of Hermite-Fejér polynomials for functions with derivatives of bounded variation ⋮ Partial shape preserving approximation by bivariate Hermite-Fejér polynomials ⋮ On the construction and convergence of multivariate interpolation operators ⋮ On the convergence of Hermite-Fejér interpolation ⋮ On the rate of convergence of interpolation polynomials of Hermite-Fejér type ⋮ Konvergenz mehrdimensionaler Interpolation ⋮ On the rate of convergence of Hermite-Fejer interpolation polynomials ⋮ The complete asymptotic expansion for the degree of approximation of Lipschitz functions by Hermite-Fejér interpolation polynomials

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