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

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Publication:1907374
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DOI10.1007/BF02309388zbMath0836.41006MaRDI QIDQ1907374

M. V. Abilov, Vladimir A. Abilov

Publication date: 21 February 1996

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


zbMATH Keywords

\(n\)-width


Mathematics Subject Classification ID

Approximation by polynomials (41A10)


Related Items (6)

Some estimates for the error in Fourier-Legendre expansions of functions of one variable ⋮ 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 \(L_{2, \gamma } ( \mathbb{R}^2)\), \(\gamma = \exp ( - x^2 - y^2)\) ⋮ On some estimates for best approximations of bivariate functions by Fourier-Jacobi sums in the mean ⋮ Exact Jackson-Stechkin inequalities and diameters of classes of functions from \(L_{2} (\mathbb R^{2} ,e^{-x^2 -y^2})\) ⋮ Mean-square approximation by ``angle in the space \(L_{2,\mu}(\mathbb{R}^2)\) with the Chebyshev-Hermite weight



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