TWO IMPORTANT EXTENSION THEOREMS FOR THE GAP-INTEGRAL

D. K. Ganguly; Ranu Mukherjee

doi:10.22342/jims.17.1.13.49-58

D. K. Ganguly ⁽¹⁾ , Ranu Mukherjee ⁽²⁾

(1) Department of Pure Mathematics, University of Calcutta, India,

(2)

https://doi.org/10.22342/jims.17.1.13.49-58

Issue
Volume 17 Number 1 (April 2011)

Submitted
February 13, 2012

Accepted
February 13, 2012

Published
February 13, 2012

Keywords:

Approximate full cover, density point, GAP-integral, Henstock integral, Saks-Henstock lemma, approximate

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Abstract

The concept of the GAP-integral was introduced by the authors [4]. In this paper Cauchy and Harnack extensions for the GAP integral on the real line arepresented.

DOI : http://dx.doi.org/10.22342/jims.17.1.13.49-58

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Authors

D. K. Ganguly

Department of Pure Mathematics, University of Calcutta

admin@jims-a.org (Primary Contact)

Ranu Mukherjee

Ganguly, D. K., & Mukherjee, R. (2012). TWO IMPORTANT EXTENSION THEOREMS FOR THE GAP-INTEGRAL. Journal of the Indonesian Mathematical Society, 17(1), 49–58. https://doi.org/10.22342/jims.17.1.13.49-58