The Ward, Perron and Henstock-Kurzweil integrals with respect to abstract derivation bases in Riesz spaces.

A. Boccuto; V. A. Skvortsov

doi:rae/1184104036

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

2005/2006 The Ward, Perron and Henstock-Kurzweil integrals with respect to abstract derivation bases in Riesz spaces.

A. Boccuto, V. A. Skvortsov

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A. Boccuto,¹ V. A. Skvortsov²
¹Dipartimento di Matematica e Informatica, via Vanvitelli 1, I-06123 Perugia, Italy
²Department of Mathematics, Moscow State University, Moscow 119992, Russia

Real Anal. Exchange 31(2): 431-445 (2005/2006).

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Abstract

The Ward and Perron integrals, with respect to abstract derivation bases, for Riesz-space-valued functions are introduced. It is shown that they are equivalent to the respectively defined Henstock-Kurzweil integral.

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A. Boccuto. V. A. Skvortsov. "The Ward, Perron and Henstock-Kurzweil integrals with respect to abstract derivation bases in Riesz spaces.." Real Anal. Exchange 31 (2) 431 - 445, 2005/2006.

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Published: 2005/2006

First available in Project Euclid: 10 July 2007

zbMATH: 1114.26009

MathSciNet: MR2265785

Subjects:

Primary: ‎28A15 , 28A39 , 28B05 , 42C05 , 42C10 , 46G10

Keywords: Henstock-Kurzweil integral , Perron integral , Ward integral

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Real Anal. Exchange

Vol.31 • No. 2 • 2005/2006

Michigan State University Press

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A. Boccuto, V. A. Skvortsov "The Ward, Perron and Henstock-Kurzweil integrals with respect to abstract derivation bases in Riesz spaces.," Real Analysis Exchange, Real Anal. Exchange 31(2), 431-445, (2005/2006)

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