Problems and results on the theory of interpolation. II

DOI10.1007/BF02066686zbMath0098.04103OpenAlexW2128015762MaRDI QIDQ3277539

Paul Erdős

Publication date: 1961

Published in: Acta Mathematica Academiae Scientiarum Hungaricae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02066686

zbMATH Keywords

approximation and series expansion of real functions.

Mathematics Subject Classification ID

Problem books (00A07) Interpolation in approximation theory (41A05)

Related Items (32)

Approximate optimal points for polynomial interpolation of real functions in an interval and in a triangle ⋮ On the optimal convergence rates of Chebyshev interpolations for functions of limited regularity ⋮ Estimation of model quality ⋮ Interpolation und numerische Differentiation ⋮ An extremal problem of Erdős in interpolation theory ⋮ Lebesgue function for multivariate interpolation by radial basis functions ⋮ A characterization of the Lagrange interpolating projection with minimal Tchebycheff norm ⋮ Über eine Minimaleigenschaft der äquidistanten trigonometrischen Interpolation in 2n+1 Knoten ⋮ Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations ⋮ On an interpolation-theoretic extremum problem ⋮ On nodal point sets for flux reconstruction ⋮ Markov-type estimates for certain classes of constrained polynomials ⋮ On Poreda's problem on the strong unicity constants ⋮ The Lebesgue constants for some cardinal spline interpolation operators ⋮ On a problem of P. Erdős ⋮ Two results on polynomial interpolation in equally spaced points ⋮ Lebesgue constant using sinc points ⋮ On Interpolation Approximation: Convergence Rates for Polynomial Interpolation for Functions of Limited Regularity ⋮ Some polynomial approximation operators ⋮ The Lebesgue constants for cardinal spline interpolation ⋮ On a certain class of Lebesgue constants ⋮ On the optimal Lebesgue constants for polynomial interpolation ⋮ Some extremal properties of the integral of Legendre polynomials ⋮ On the integral of the lebesgue function of interpolation ⋮ Auswertung der Normen von Interpolationsoperatoren ⋮ Reusing Chebyshev points for polynomial interpolation ⋮ Spectral methods for numerical relativity ⋮ New estimation for the Lebesgue function of Lagrange interpolation ⋮ Exact Designs Minimising the Integrated Variance in Quadratic Regression ⋮ On asymptotics and estimates for the uniform norms of the Lagrange interpolation polynomials corresponding to the Chebyshev nodal points ⋮ Lebesgue constants for certain classes of nodes ⋮ The Chebyshev points of the first kind

Cites Work

• On interpolation. III: Interpolatory theory of polynomials
• On the uniform distribution of the roots of certain polynomials
• Problems and results on the theory of interpolation. I
• An extremal problem in the theory of interpolation
• Unnamed Item

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