A characterization of the GHk
                integral.

A. G. Das; Sarmila Kundu

doi:rae/1129416464

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Home > Journals > Real Anal. Exchange > Volume 30 > Issue 2 > Article

2004-2005 A characterization of the GH_k integral.

A. G. Das, Sarmila Kundu

Author Affiliations +

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

Real Anal. Exchange 30(2): 639-656 (2004-2005).

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Abstract

A concept of a general derivative and a notion of bounded variation have been produced leading to the presentation of the Fundamental Theorem of Calculus for the $GH_k$ integral with a characterization of the integral.

Citation

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A. G. Das. Sarmila Kundu. "A characterization of the GH_k integral.." Real Anal. Exchange 30 (2) 639 - 656, 2004-2005.

Information

Published: 2004-2005

First available in Project Euclid: 15 October 2005

MathSciNet: MR2177424

Subjects:

Primary: 26A39

Keywords: $\delta$-fine tagged elementary $k$-system , $GH_k$ integral , $GH_k$ primitive , $gk$-derivative , $GR_k$ , $GR_k^*$-integrals , $HS_k$ , $k$-convex function , $k$-variationally bounded function , $LS_k$ , fundamental theorem of calculus