On convergence of the gap-integral.

D. K. Ganguly; Ranu Mukherjee

doi:rae/1184104031

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Home > Journals > Real Anal. Exchange > Volume 31 > Issue 2 > Article

2005/2006 On convergence of the gap-integral.

D. K. Ganguly, Ranu Mukherjee

Author Affiliations +

D. K. Ganguly,¹ Ranu Mukherjee¹
¹Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Calcutta -700019, India

Real Anal. Exchange 31(2): 373-384 (2005/2006).

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Abstract

The concept of the GAP-integral was introduced by the authors $[5]$. In this paper some convergence theorems for the GAP-integral are presented.

Citation

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D. K. Ganguly. Ranu Mukherjee. "On convergence of the gap-integral.." Real Anal. Exchange 31 (2) 373 - 384, 2005/2006.

Information

Published: 2005/2006

First available in Project Euclid: 10 July 2007

zbMATH: 1115.26004

MathSciNet: MR2265780

Subjects:

Primary: 26A39

Keywords: $\Delta$-division , $\delta$-fine division , AP-integral , Approximate full cover , density point , GAP-integral , Henstock integral , Locally Small Riemann Sum , Saks-Henstock Lemma