Estimates of the orthogonal widths of the classes $B^{\Omega}_{\infty,\theta}$ of periodic functions of many variables with given majorant of the mixed moduli of continuity

• Date: 2015
• Author Affiliations: А. Ф. Конограй — Інститут математики НАН України; О. В. Федуник-Яремчук — Східноєвропейський національний університет імені Лесі Українки
• Keywords: keywords
• Main Authors: Konograi, A. F., Fedunyk-Yaremchuk, O. V., Конограй, А. Ф., Федуник-Яремчук, О. В.
• Format: Article
• Language: Ukrainian
• Published: Інститут математики НАН України 2015
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/294
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

We obtain exact order estimates of approximation of classes $B^{\Omega}_{\infty,\theta}$ of periodic functions of several variables in the space $L_q$ by using operators of orthogonal projection as well as linear operators subjected to someconditions.