Local approximations of differentiable functions
type: Item
instance of: scholarly article
title: Local approximations of differentiable functions
zbMATH Open document ID: 1371.41006
DOI: 10.1134/S0001434616070208
author: Yong-Cai Geng
author: Sumit K. Garg
published in: Mathematical Notes
publication date: 2017-02-08T00:00:00Z
review text: In this paper the author provides descriptions of some spaces of differentiable functions constructed from \(L_p\) spaces, \(0< p <\infty\). These descriptions are given in terms of local and piecewise polynomial approximations (cf. Theorems 3, 4, 5 and 6). The results of the author are mainly based on the reduction of the assumptions from a Bernstein theorem into the uniform convergence of certain sequence of functions.
reviewed by: Yamilet Quintana
Mathematics Subject Classification ID: 41A10
Mathematics Subject Classification ID: 41A65
zbMATH DE Number: 6682154
zbMATH Keywords: local and piecewise polynomial approximations
zbMATH Keywords: differential operator
zbMATH Keywords: quasinorm
zbMATH Keywords: spaces of differentiable functions
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 6682154