A generalized Henstock integral.

A. G. Das; Sarmila Kundu

doi:rae/1149860182

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Home > Journals > Real Anal. Exchange > Volume 29 > Issue 1 > Article

2003-2004 A generalized Henstock integral.

A. G. Das, Sarmila Kundu

Author Affiliations +

A. G. Das,¹ Sarmila Kundu¹
¹Department of Mathematics, University of Kalyani

Real Anal. Exchange 29(1): 59-79 (2003-2004).

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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

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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