Asymptotic estimates for the best trigonometric and bilinear approximations of classes of functions of several variables

• Дата: 2010
• Автори: Romanyuk, A. S., Romanyuk, V. S., Романюк, А. С., Романюк, В. С.
• Формат: Стаття
• Мова: Російська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2010
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/2886
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We obtain exact order estimates for the best $M$-term trigonometric approximations of the Besov classes $B_{∞,θ}^r$ in the space $L_q$. We also determine the exact orders of the best bilinear approximations of the classes of functions of $2d$ variables generated by functions of d variables from the...