Properties of functions of generalized bounded variations

Abstract

Looking to the features of functions of bounded variation, the notion of bounded variation is generalized in many ways and different classes of functions of generalized bounded variations are introduced. In the present chapter introducing different classes of functions of generalized bounded variations their main interesting properties are discussed. Inter-relations between them and the classes related to them are given in the next section. Finally we try to present overall picture of Fourier analysis of these classes.