Approximation Characteristics of the Spaces $S_p^{ϕ}$ in Different Metrics

• Datum: 2001
• Hauptverfasser: Stepanets, O. I., Степанец, А. И.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2001
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/4331
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We continue the investigation of the approximation characteristics of the spaces $S_p^{ϕ}$ introduced earlier. In particular, we establish direct and inverse theorems on the approximation of elements of these spaces. We also determine the exact values of upper bounds of $m$-term approximations of...