Real Analysis Exchange

The Approximate Variational Integral

D. K. Ganguly and Ranu Mukherjee

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The concept of the GAP-integral was introduced by the authors [7]. In this paper we characterize the Variational integral by the GAP-integral and present some significant convergence theorems for the GAP-integral.

Article information

Real Anal. Exchange, Volume 33, Number 2 (2007), 457-466.

First available in Project Euclid: 18 December 2008

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 26A39: Denjoy and Perron integrals, other special integrals

approximate full cover variational integral approximate variational integral density point $\Delta$-division GAP-integral Saks-Henstock lemma


Ganguly, D. K.; Mukherjee, Ranu. The Approximate Variational Integral. Real Anal. Exchange 33 (2007), no. 2, 457--466.

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