On the classes of functions of generalized bounded variation

Author: koba ivanadze
Co-authors: Teimuraz akhobadze
Keywords: Bounded variation, absolute continuity, convergence in variation
Annotation:

The properties of the class of functions of generalized bounded variation are studied. The "anomaly" feature of this class is revealed. There is the notation of absolute continuity with respect to $((p_n), \phi)$ and it's connection with the ordinary absolute continuity is investigated. The problems of approximation by Steklov's functions and singular integrals are studied.

Lecture files:

განზოგადოებული სასრული ვარიაციის ფუნქციათა კლასების შესახებ [ka]