The Approximate Variational Integral

D. K. Ganguly; Ranu Mukherjee

doi:rae/1229619423

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Home > Journals > Real Anal. Exchange > Volume 33 > Issue 2 > Article

2007/2008 The Approximate Variational Integral

D. K. Ganguly, Ranu Mukherjee

Real Anal. Exchange 33(2): 457-466 (2007/2008).

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Abstract

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.

Citation

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D. K. Ganguly. Ranu Mukherjee. "The Approximate Variational Integral." Real Anal. Exchange 33 (2) 457 - 466, 2007/2008.

Information

Published: 2007/2008

First available in Project Euclid: 18 December 2008

zbMATH: 1159.26002

MathSciNet: MR2458262

Subjects:

Primary: 26A39

Keywords: $\Delta$-division , Approximate full cover , approximate variational integral , density point , GAP-integral , Saks-Henstock Lemma , variational integral