This article is cited in 2 papers

On the Element of Best Nonsymmetric Approximation in Spaces with Nonsymmetric Quasinorm

B. V. Simonov

Volgograd State Technical University

Abstract: In this paper, we prove an existence theorem for the element of best nonsymmetric approximation in spaces with nonsymmetric quasinorm. Examples showing the importance of the conditions embodied in the theorem are presented. A criterion for determining the element of best nonsymmetric approximation is given.

UDC: 517.51

Received: 20.10.2000
Revised: 28.04.2003

DOI: 10.4213/mzm318

 English version: Mathematical Notes, 2003, 74:6, 853–863

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