Relations Between Some Classes Of Functions Of Generalized Bounded Variation

TL;DR

This paper investigates the relationships between different classes of functions characterized by generalized bounded variation, specifically focusing on inclusion relations between generalized Waterman's and Wiener's classes for functions of two variables.

Contribution

It establishes inclusion relations between generalized Waterman's and Wiener's classes for functions of two variables, advancing the understanding of their structural connections.

Findings

Proves inclusion relations between the classes

Clarifies the hierarchy of generalized bounded variation classes

Enhances theoretical understanding of function classes

Abstract

We prove inclusion relations between generalized Waterman's and generalized Wiener's classes for functions of two variable.