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Approximation of functions by Fourier-Hermite sums in the space \(L_2(\mathbb R;e^{-x^2})\)

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Publication:1022217
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zbMath1173.42301MaRDI QIDQ1022217

F. V. Abilova, Vladimir A. Abilov

Publication date: 10 June 2009

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



Mathematics Subject Classification ID

Trigonometric approximation (42A10) Approximation by other special function classes (41A30)


Related Items (5)

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 \(L_{2, \gamma } ( \mathbb{R}^2)\), \(\gamma = \exp ( - x^2 - y^2)\) ⋮ Mean-square approximation by ``angle in the space \(L_{2,\mu}(\mathbb{R}^2)\) with the Chebyshev-Hermite weight ⋮ Widths of the classes of functions in the weight space \(L_{2 , \gamma } (\mathbb{R})\), \(\gamma = \mathrm{exp} ( - X^2)\)




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