Classes of $(\psi, \beta)$-differential functions of complex variable and approximation by linear averages of their Faber series

• Date: 1992
• Main Authors: Stepanec, A.I., Romanyuk, V.S., Степанец, А.И., Романюк, В С.
• Format: Article
• Language: Russian
• Published: Institute of Mathematics, NAS of Ukraine 1992
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/8259
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We introduce the notion of $(\psi, \beta)$-derivative of a function of one complex variable, and define on the basis of this the classes $L_\beta ^{\psi}{\mathfrak N} (G)$  of $(\psi, \beta)$-differentiable analytic functions in a bounded domain $G$. The classes $L_\beta ^{\psi}{\mathfr...