Nonlinear approximation of the classes $F_{q,r}^{\psi}$ of functions of several variables in the integral metrics

• Datum: 2017
• Hauptverfasser: Shidlich, A. L., Шыдлич, А. Л., Шидліч, А. Л.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2017
• Online Zugang: https://trim.imath.kiev.ua/index.php/trim/article/view/62
• Назва журналу: Transactions of Institute of Mathematics of NAS of Ukraine

In the paper, exact order estimates of nonlinear approximative characteristics (such as the best $m$-member of the trigonometric approximation, better than the $m$-th term of the orthogonal trigonometric approximation, approximation of the $m$-member of the grid by polynomials) are found in the clas...