The generalized Riemann-Stieltjes integral

Washek F. Pfeffer

doi:rae/1339694082

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Home > Journals > Real Anal. Exchange > Volume 21 > Issue 2 > Article

1995/1996 The generalized Riemann-Stieltjes integral

Washek F. Pfeffer

Author Affiliations +

Washek F. Pfeffer¹
¹Department of Mathematics, University of California

Real Anal. Exchange 21(2): 521-547 (1995/1996).

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Abstract

We define a generalized Riemann-Stieltjes integral with respect to charges (i.e., additive continuous functions on bounded $BV$ sets), and study the linear space of all functions that are integrable with respect to every charge.