Open AccessCriterion of the best approximant for multivariable functions in spaces $L_{1,p_2,...,p_n}$ and $L_{p_1,...,p_{n-1},1}$
Author(s) -
O.D. Kostyuk,
V.M. Traktynska,
M.Ye. Tkachenko
Publication year - 2016
Publication title -
researches in mathematics
Language(s) - English
Resource type - Journals
eISSN - 2664-5009
pISSN - 2664-4991
DOI - 10.15421/241608
Subject(s) - multivariable calculus , mathematics , metric (unit) , characterization (materials science) , pure mathematics , metric space , physics , control engineering , engineering , operations management , optics , economics
The questions of the characterization of the best approximant for the multivariable functions in spaces with mixed integral metric were considered in this article. The criterions of the best approximant in spaces $L_{1,p_2,...,p_n}$ and $L_{p_1,...,p_{n-1},1}$ is obtained.