Functions of Φ-bounded variation and Riemann-Stieltjes integration
Functions of Φ-bounded variation and Riemann-Stieltjes integration
A notion of generalized bounded variation is introduced which simultaneously generalizes many of those previously examined. It is shown that the class of functions arising from this definition is a Banach space with a suitable norm. Appropriate variation functions are defined and examined, and an analogue of Helly’s theorem is …