Existence of Best Approximation Elements in the spaces  L   φ + φ −

B. V. Simonov; V. A. Ivanyuk; I. E. Simonova

doi:10.1007/s10958-016-2996-6

Existence of Best Approximation Elements in the spaces L_φ+φ−

Authors: Simonov B.V.¹, Ivanyuk V.A.², Simonova I.E.¹
Affiliations:
1. Volgograd State Technical University
2. Financial University under the Government of the Russian Federation
Issue: Vol 217, No 5 (2016)
Pages: 639-659
Section: Article
URL: https://journals.rcsi.science/1072-3374/article/view/238121
DOI: https://doi.org/10.1007/s10958-016-2996-6
ID: 238121

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Abstract
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Abstract

In this paper, we examine the problem on the existence of best approximation elements in functional spaces with nonsymmetric norms and sign-sensitive weights.

About the authors

B. V. Simonov

Volgograd State Technical University

Author for correspondence.
Email: simonov-b2002@yandex.ru
Russian Federation, Volgograd

V. A. Ivanyuk

Financial University under the Government of the Russian Federation

Email: simonov-b2002@yandex.ru
Russian Federation, Moscow

I. E. Simonova