Stieltjes Integrals Considered as Lengths

Karl Menger

A chapter in Selecta Mathematica, 2003, pp 91-93 from Springer

Abstract: Abstract The Stieltjes integral $$\begin{array}{*{20}{c}} {\int\limits_{a}^{b} {f(x)dg(x)} } & {or briefly, \int\limits_{a}^{b} {fdg} }\\\end{array}$$ is defined as follows: We divide the interval [a, b] into a finite number of intervals $$a = {{x}_{0}}

Date: 2003
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DOI: 10.1007/978-3-7091-6045-9_14

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