Jackson's theorem in the space \(L_{2}(\mathbb R^{d})\) with power weight
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Publication:650261
DOI10.1134/S0001434610070126zbMATH Open1231.41010MaRDI QIDQ650261
Valeriĭ I. Ivanov, Alexey Ivanov
Publication date: 25 November 2011
Published in: Mathematical Notes (Search for Journal in Brave)
Euclidean spaceBessel functionDunkl operatorParseval's equalityJackson's theorem\(L_2(\mathbb{R}^d)\)Dunkl's Laplacian
Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Approximation by other special function classes (41A30) Remainders in approximation formulas (41A80)
Cites Work
Related Items (8)
Optimal arguments in Jackson's inequality in the power-weighted space \(L_2(\mathbb R^d)\) ⋮ Jackson and Bernstein theorems for the weight \(\exp(-|x|)\) on \(\mathbb R\) ⋮ An estimate of an optimal argument in the sharp multidimensional Jackson-Stechkin \(L_2\)-inequality ⋮ Generalized Jackson inequality in the space \(L_2(\mathbb{R}^{d})\) with Dunkl weight ⋮ Multidimensional Extremal Logan’s and Bohman’s Problems ⋮ Approximation of the multidimensional Jacobi transform in \(L_2\) by partial integrals ⋮ Optimal argument in the sharp Jackson inequality in the space \(L_2\) with hyperbolic weight ⋮ Unnamed Item
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