Some remarks on the classes of functions of generalized bounded variation

Author: koba ivanadze
Keywords: variation, function, continuity, convergnce.
Annotation:

The properties of the class of functions of generalized bounded variation has been studied. The "anomaly" feature of this class is revealed. The modification of this class are also discussed and the features of the latter class are studied. The statements on the continuity in the sence of variation, are proved. The problems of approximation by Stoklov's functions and singular integrals are studied.