Exact Jackson-Stechkin inequalities and diameters of classes of functions from \(L_{2} (\mathbb R^{2} ,e^{-x^2 -y^2})\)

DOI10.3103/S1066369X07020016zbMath1145.41003MaRDI QIDQ2479648

M. G. Esmaganbetov

Publication date: 1 April 2008

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

widthsJackson-Stechkin inequalities

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (2)

On estimates of diameter values of classes of functions in the weight space \(L_{2, \gamma } ( \mathbb{R}^2)\), \(\gamma = \exp(-x^2 - y^2)\) ⋮ On the estimates of the values of various widths of classes of functions of two variables in the weight space \(L_{2, \gamma } ( \mathbb{R}^2)\), \(\gamma = \exp ( - x^2 - y^2)\)

Cites Work

• Approximation of functions in the space \(L_ 2(\mathbb{R}^ N;{\text exp}(- | x|^ 2))\)
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