Order estimates of functionals in terms of which the best $n$-term approximations of classes ${\cal F}_{q,r}^{\psi}$ are expressed.

• Дата: 2014
• Автори: Shidlich, A. L., Шидліч, А. Л.
• Формат: Стаття
• Мова: Українська
• Опубліковано: Інститут математики НАН України 2014
• Онлайн доступ: https://trim.imath.kiev.ua/index.php/trim/article/view/82
• Назва журналу: Transactions of Institute of Mathematics of NAS of Ukraine

We obtain the exact order estimates of the functionals, which are the expressions of best $n$-term approximations of the classes of functions of several variables ${\cal F}_{q,r}^{\psi}$. The obtained results are applied to finding the approximative characteristics in the spaces $S^p$ and $L_p$