On the approximation condition of continuity for the fractional derivative

• Date: 1992
• Main Authors: Shakh , L. G., Шах , Л. Г.
• Format: Article
• Language: Russian
• Published: Institute of Mathematics, NAS of Ukraine 1992
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/8198
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

For the space $C^\alpha$ of functions having a Marchaud continuous fractional derivative of order $\alpha>0$ on the closed interval $[0, 1]$ and for the function class $H_r [\bar \varepsilon ] = \{ f:E_n (f) \leqslant \varepsilon _n ,n \in N,f^{(i)} (1) = 0, j = \overline {0,r} \}$ &a...