5 citations · 8 across the 6 of their papers we have counts for
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Modified Riemann sums of Riemann-Stieltjes integrable functions
Alberto Torchinsky
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 comput…
The change of variable formula for Riemann-Stieltjes integrals
Alberto Torchinsky
We consider general formulations of the change of variable formula for the Riemann-Stieltjes integral, including the case when the substitution is not invertible.
The change of variable formula for the Riemann integral
Alberto Torchinsky
This note concerns the general formulation by Preiss and Uher of Kestelman's influential result pertaining the change of variable, or substitution, formula for the Riemann integral…
On a Local Mean Oscillation Decomposition
Jonathan Poelhuis, Alberto Torchinsky
In this note we generate two local median oscillation decompositions of an arbitrary measurable function and discuss some applications to Calderón-Zygmund singular integral operato…
Medians, Continuity, and Oscillation
Jonathan Poelhuis, Alberto Torchinsky
In this paper we consider properties of medians as they pertain to the continuity and vanishing oscillation of a function. Our approach is based on the observation that medians are…