The criterion of the best approximant for the multivariable functions in the space $L_{p_1,...,p_{i-1},1,p_{i+1},...,p_n}$

The questions of the characterization of the best approximant for the multivariable functions in the space with mixed integral metric were considered in this article. The criterion of the best approximant in space $L_{p_1,...,p_{i-1},1,p_{i+1},...,p_n}$ is obtained.

Bibliographic Details
Main Authors: V.M. Traktyns'ka, M.Ye. Tkachenko, D.O. Osennikova
Format: Article
Language:English
Published: Oles Honchar Dnipro National University 2018-06-01
Series:Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Matematika
Subjects:
Online Access:https://vestnmath.dnu.dp.ua/index.php/dumb/article/view/106/106