Jackson – Stechkin-type inequalities for the approximation of elements of Hilbert spaces

• Datum: 2018
• Hauptverfasser: Babenko, V. F., Konareva, S. V., Бабенко, В. Ф., Конарева, С. В.
• Format: Artikel
• Sprache: Russisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2018
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/1626
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We introduce new characteristics for elements of Hilbert spaces, namely, generalized moduli of continuity \$\omega_{ \varphi} (x, L_p, V ([0, \delta]))$ and obtain new exact Jackson – Stechkin-type inequalities with these moduli of continuity for the approximation of elements of Hilbert spaces. Thes...