The change of variable formula for the Riemann integral
Alberto Torchinsky
TL;DR
This paper discusses the general formulation of the change of variable formula for the Riemann integral, building on the work of Preiss and Uher to clarify Kestelman's result.
Contribution
It provides a detailed analysis of the generalized change of variable formula for the Riemann integral based on the formulations by Preiss and Uher.
Findings
Clarifies the general formulation of the change of variable for Riemann integrals
Connects Preiss and Uher's formulation with Kestelman's result
Enhances understanding of substitution in Riemann integration
Abstract
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.
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Taxonomy
TopicsFunctional Equations Stability Results · Analytic Number Theory Research · Mathematical functions and polynomials