Existence of Best Approximation Elements in the spaces Lφ+φ−
- Authors: Simonov B.V.1, Ivanyuk V.A.2, Simonova I.E.1
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Affiliations:
- Volgograd State Technical University
- 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
Cite item
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
Volgograd State Technical University
Email: simonov-b2002@yandex.ru
Russian Federation, Volgograd