Modified Riemann sums of Riemann-Stieltjes integrable functions

Abstract

In this paper, motivated by physical considerations, we introduce the notion of modified Riemann sums of Riemann-Stieltjes integrable functions, show that they converge, and compute them explicitely under various assumptions.

References in corpus (3)

• The change of variable formula for the Riemann integral
• Existence and computation of Riemann-Stieltjes integrals through Riemann integrals
• The change of variable formula for Riemann-Stieltjes integrals