On the existence of the Stieltjes integral for functions of bounded variation

Authors

  • T. V. Karataeva

Abstract

We obtain sufficient conditions of existence of the Stieltjes integral tsf(τ)dF(τ)=lim for functions of bounded variation taking values in a Banach algebra with identity regardless of the choice of points ξ_k \in [t_{k−1}, t_k].

Published

25.03.1995

Issue

Section

Short communications

How to Cite

Karataeva, T. V. “On the Existence of the Stieltjes Integral for Functions of Bounded Variation”. Ukrains’kyi Matematychnyi Zhurnal, vol. 47, no. 3, Mar. 1995, pp. 432-5, https://umj.imath.kiev.ua/index.php/umj/article/view/5438.