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

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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.

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Authors and Affiliations

  1. Volgograd State Technical University, Russia

    B. V. Simonov

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  1. B. V. Simonov
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Simonov, B.V. On the Element of Best Nonsymmetric Approximation in Spaces with Nonsymmetric Quasinorm. Mathematical Notes 74, 853–863 (2003). https://doi.org/10.1023/B:MATN.0000009022.34482.3e

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  • DOI: https://doi.org/10.1023/B:MATN.0000009022.34482.3e

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