Open AccessCriterions for the best non-symmetric $L_p$- and $L_1$-approximant for the functions with values in KB-spaces with weight
Author(s) -
M.Ye. Tkachenko,
V.M. Traktynska
Publication year - 2017
Publication title -
researches in mathematics
Language(s) - English
Resource type - Journals
eISSN - 2664-5009
pISSN - 2664-4991
DOI - 10.15421/241712
Subject(s) - mathematics , pure mathematics , space (punctuation) , characterization (materials science) , weight function , algebra over a field , mathematical analysis , computer science , physics , optics , operating system
The questions of the characterization of the best non-symmetric $L_p$ and $L_1$-approximant for the functions with values in KB-space with a weight were considered. The criterions of the best non-symmetric approximant for the specified functions in metrics of the spaces $L_p$ and $L_1$ with a weight is obtained.