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
$$a = {{x}_{0}} < {{x}_{1}} <\ldots< {{x}_{{n - 1}}} < {{x}_{n}} = b.$$
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer-Verlag Wien
About this chapter
Cite this chapter
Menger, K. (2003). Stieltjes Integrals Considered as Lengths. In: Schweizer, B., et al. Selecta Mathematica. Springer, Vienna. https://doi.org/10.1007/978-3-7091-6045-9_14
Download citation
DOI: https://doi.org/10.1007/978-3-7091-6045-9_14
Published:
Publisher Name: Springer, Vienna
Print ISBN: 978-3-7091-7294-0
Online ISBN: 978-3-7091-6045-9
eBook Packages: Springer Book Archive