Problems and results on the theory of interpolation. I

DOI10.1007/BF02020269zbMath0083.29001OpenAlexW4235788533MaRDI QIDQ3253208

Paul Erdős

Publication date: 1958

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

Full work available at URL: https://doi.org/10.1007/bf02020269

zbMATH Keywords

approximation and series expansion of real functions

Mathematics Subject Classification ID

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

Related Items (14)

Lebesgue functions and Lebesgue constants in polynomial interpolation ⋮ On barycentric interpolation. I. On the \(T\)-Lebesgue function and \(T\)-Lebesgue constant ⋮ Order of uniform approximation by polynomial interpolation in the complex plane and beyond ⋮ On some open problems of approximation theory ⋮ On interpolation in the complex domain ⋮ Condensation of singularities and divergence results in approximation theory ⋮ Problems and results on the theory of interpolation. II ⋮ On sums of Lebesgue function type ⋮ Localizing the Lozinski-Harshiladze theorem on projections into the space of trigonometric polynomials ⋮ Proof of the conjectures of Bernstein and Erdős concerning the optimal nodes for polynomial interpolation ⋮ Lagrange interpolation — decline and fall?† ⋮ On the almost everywhere divergence of Lagrange interpolatory polynomials for arbitrary system of nodes ⋮ Some new properties of Chebyshev polynomials ⋮ New estimation for the Lebesgue function of Lagrange interpolation

Cites Work

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• Über Divergenzerscheinungen der Lagrangeschen Interpolationspolynome stetiger Funktionen
• Some remarks on polynomials

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