The best trigonometric and bilinear approximations of the functions of many variables from the classes $B_{p,\theta}^r$. I

• Дата: 1992
• Автори: Romanyuk, A.S., Романюк, А.С.
• Формат: Стаття
• Мова: Російська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 1992
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/8257
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

Approximations are studied of the classes $B_{p,\theta}^r$of periodic functions of several variables with the help of trigonometric polynomials with a given number of harmonics. The results obtained are used to establish order estimates of the approximation of functions of the form $f(x - y)$, $f (x...