Multiple Haar basis and $m$-term approximations of functions from the Besov classes. II

• Дата: 2016
• Автори: Romanyuk, V. S., Романюк, В. С.
• Формат: Стаття
• Мова: Російська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2016
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/1880
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We establish the exact-order estimates for the best $m$-term approximations in the multiple Haar basis $\mathrm{H}^d$ of functions from the Besov classes in the Lebesgue spaces $L_q(I^d)$. We also present a practical algorithm of the construction of the extreme nonlinear m-term aggregates (in a sens...