Abstract
The present paper concerns a general version of the Henstock integral that includes Schwabik's generalized Perron integral and all the Stieltjes type integrals induced by measures as well.
Citation
A. G. Das. Sarmila Kundu. "A generalized Henstock integral.." Real Anal. Exchange 29 (1) 59 - 79, 2003-2004.
Information
Published: 2003-2004
First available in Project Euclid: 9 June 2006
zbMATH: 1084.26004
MathSciNet: MR2061293
Subjects:
Primary:
26A39
Keywords:
$\delta$-fine tagged $k$-partition
,
$\R$$S^*_k$-
,
$GH_k$ integral
,
$GSH\text{-
,
$HS_k$-
,
$k$-convex function
,
$LS_k$-
,
$RS^*_k$-
,
}$ $GR_k$-integrals
,
Cauchy Extension Formula
,
divided difference
,
Henstock integral
,
Saks-Henstock Lemma
,
Schwabik's generalized Perron integral
Rights: Copyright © 2003 Michigan State University Press
