Conversion formulas for the Lebesgue-Stieltjes integral
type: Item
instance of: scholarly article
title: Conversion formulas for the Lebesgue-Stieltjes integral
zbMATH Open document ID: 0837.26008
published in: Real Analysis Exchange
publication date: 1996-04-17T00:00:00Z
review text: The author derived some conversion formulas for the Lebesgue-Stieltjes integral which convert Lebesgue-Stieltjes integrals with a continuous integrator \(h\) of bounded variation into Lebesgue integrals over the range of \(h\). Hence Banach's indicatrix formula and Green's theorem were deduced. The integral used is the generalized Riemann integral involving differentials, some of which were developed by the author in his earlier papers [Real Anal. Exch. 12(1986/87), 144-175 (1987; Zbl 0638.26009); 16, No. 2, 508-515 (1991; Zbl 0747.26004)].
Mathematics Subject Classification ID: 26A42
Mathematics Subject Classification ID: 26A39
zbMATH DE Number: 801012
zbMATH Keywords: conversion formulas
zbMATH Keywords: Lebesgue-Stieltjes integral
zbMATH Keywords: Banach's indicatrix formula
zbMATH Keywords: Green's theorem
author: Solomon Leader
reviewed by: Peng-Yee Lee
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 801012