Limit theorems for the best polynomial approximations in the \(L_ \infty\) metric

DOI10.1007/BF01060838zbMath0753.41027MaRDI QIDQ1174872

Michael I. Ganzburg

Publication date: 25 June 1992

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

algebraic polynomialsinteger exponential functions

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Multidimensional problems (41A63) Approximation by polynomials (41A10)

Related Items (5)

Asymptotics of sharp constants in Markov-Bernstein-Nikolskii type inequalities with exponential weights ⋮ Sharp constants of approximation theory. V. An asymptotic equality related to polynomials with given Newton polyhedra ⋮ Polynomial interpolation, an \(L\)-function, and pointwise approximation of continuous functions ⋮ Asymptotic behaviour of the error of polynomial approximation of functions like \(\vert x\vert^{\alpha+i\beta}\) ⋮ The Bernstein constant and polynomial interpolation at the Chebyshev nodes.

Cites Work

• Multidimensional limit theorems of the theory of best polynomial approximations
• Approximation of monomials by lower degree polynomials
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