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JOURNALS // Modelirovanie i Analiz Informatsionnykh Sistem // Archive

Model. Anal. Inform. Sist., 2009 Volume 16, Number 1, Pages 7–15 (Mi mais44)

This article is cited in 2 papers

The characterization of spaces of differentiable functions by means of local approximations

A. N. Morozov

P. G. Demidov Yaroslavl State University

Abstract: We consider relations between smoothness properties of functions and behaviour of their local approximations for $0<p\le\infty$.

Keywords: local approximations, quasinorm, characterization of spaces of differentiable functions.

UDC: 517.5

Received: 10.09.2008



© Steklov Math. Inst. of RAS, 2024