Approximation of functions in the space \(L_ 2(\mathbb{R}^ N;{\text exp}(- | x|^ 2))\)
type: Item
instance of: scholarly article
title: Approximation of functions in the space \(L_ 2(\mathbb{R}^ N;{\text exp}(- | x|^ 2))\)
zbMATH Open document ID: 0836.41006
DOI: 10.1007/BF02309388
author: M. V. Abilov
author: V. A. Abilov
published in: Mathematical Notes
publication date: 1996-02-21T00:00:00Z
review text: The authors prove three theorems in connection with the topic given in the title of the paper. The first one gives the exact value of the \(n\)- width of the class \(W^r (D)\) of functions \(f(x, y)\) that are defined on the whole plane and have generalized partial derivatives from the class \(L_2\) such that \(|D^r f|\leq 1\). In the following two theorems they characterize the \(n\)-width of certain subclasses of \(W^r (D)\).
Mathematics Subject Classification ID: 41A10
zbMATH DE Number: 846454
zbMATH Keywords: \(n\)-width
reviewed by: László Leindler
MaRDI profile type: Publication
cites work: Q3485421
cites work: Q3362904
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description: scientific article; zbMATH DE number 846454