Open AccessThe best polynomial approximation, derivatives of fractional order, and widths of classes of functions in $L_2$
Author(s) -
С. Б. Вакарчук,
M.B. Vakarchuk
Publication year - 2016
Publication title -
researches in mathematics
Language(s) - English
Resource type - Journals
eISSN - 2664-5009
pISSN - 2664-4991
DOI - 10.15421/241602
Subject(s) - beta (programming language) , order (exchange) , fractional calculus , mathematics , polynomial , alpha (finance) , space (punctuation) , combinatorics , mathematical analysis , statistics , construct validity , finance , computer science , economics , programming language , psychometrics , linguistics , philosophy
On the classes of $2\pi$-periodic functions ${\mathcal{W}}^{\alpha} (K_{\beta}, \Phi)$, where $\alpha, \beta \in (0;\infty)$, defined by $K$-functionals $K_{\beta}$, fractional derivatives of order $\alpha$, and majorants $\Phi$, the exact values of different $n$-widths have been computed in the space $L_2$.