Open AccessOn extremal problems of approximation theory for classes of functions of two discrete variables in $l^2_{q,p}$
Author(s) -
С. Б. Вакарчук,
M.B. Vakarchuk
Publication year - 2021
Publication title -
researches in mathematics
Language(s) - English
Resource type - Journals
eISSN - 2664-5009
pISSN - 2664-4991
DOI - 10.15421/240709
Subject(s) - mathematics , space (punctuation) , sigma , combinatorics , set (abstract data type) , discrete mathematics , mathematical analysis , pure mathematics , physics , quantum mechanics , computer science , programming language , operating system
For classes of $2\pi$-periodic functions of two discrete variables, defined on grid set $\sigma_{q,p}$, we found exact values of Kolmogorov and linear quasiwidths of classes $W^{r,p}(l^2_{q,p})$ in $l^2_{q,p}$ space.