Sharp constants of approximation theory. IV: Asymptotic relations in general settings
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Publication:2694886
DOI10.1007/s10476-022-0185-zOpenAlexW3008066807MaRDI QIDQ2694886
Publication date: 4 April 2023
Published in: Analysis Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2002.10512
entire function of exponential typealgebraic polynomialsharp constanttrigonometric polynomialerror of approximationasymptotic relationV. A. Markov-Bernstein inequality of different metrics
Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Multidimensional problems (41A63) Best constants in approximation theory (41A44)
Related Items (3)
Sharp constants of approximation theory. V. An asymptotic equality related to polynomials with given Newton polyhedra ⋮ On constants in the Bernstein-Szegő inequality for the Weyl derivative of order less than unity of trigonometric polynomials and entire functions of exponential type in the uniform norm ⋮ Sharp constants of approximation theory. VI: weighted polynomial inequalities of different metrics on the multidimensional cube and ball
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