Multidimensional limit theorems of the theory of best polynomial approximations

DOI10.1007/BF00973488zbMath0517.41021MaRDI QIDQ1053193

Michael I. Ganzburg

Publication date: 1982

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

zbMATH Keywords

entire functionslimit theorem

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation by polynomials (41A10) Approximation by other special function classes (41A30)

Related Items

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 ⋮ Sharp constants of approximation theory. IV: Asymptotic relations in general settings ⋮ Limit theorems for the best polynomial approximations in the \(L_ \infty\) metric ⋮ Sharp constants in V. A. Markov-Bernstein type inequalities of different metrics ⋮ Sharp constants of approximation theory. II. Invariance theorems and certain multivariate inequalities of different metrics ⋮ Asymptotic behaviour of the error of polynomial approximation of functions like \(\vert x\vert^{\alpha+i\beta}\) ⋮ Sharp constants of approximation theory. III. Certain polynomial inequalities of different metrics on convex sets ⋮ Best approximation of sums of elements and a theorem of Newman and Shapiro

Cites Work

• Fonctieres entières et intégrales de Fourier multiples
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