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The general Gould type integral with respect to a multisubmeasure

In: Mathematica Slovaca, vol. 60, no. 3
Alina Cristiana Gavriluţ
Detaily:
Rok, strany: 2010, 289 - 318
Kľúčové slová:
multisubmeasure, Gould type integral, multimeasure, submeasure, measurable
O článku:
In two earlier papers [GAVRILU\c{T}, A.: \textit{A Gould type integral with respect to a multisubmeasure}, Math. Slovaca \textbf{58} (2008), 1–20] and [Gavriluţ, A.: \textit{On some properties of the Gould type integral with respect to a multisubmeasure}, An. Ştiinţ. Univ. Al. I. Cuza Iaşi. Mat. (N.S.) \textbf{52} (2006), 177–194], we defined and studied a Gould type integral for a real valued, bounded function with respect to a multisubmeasure having finite variation. In this paper, we introduce and study the properties of a Gould type integral in the general setting: the function may be unbounded and the variation of the multisubmeasure may be infinite.
Ako citovať:
ISO 690:
Gavriluţ, A. 2010. The general Gould type integral with respect to a multisubmeasure. In Mathematica Slovaca, vol. 60, no.3, pp. 289-318. 0139-9918. DOI: https://doi.org/10.2478/s12175-010-0013-y

APA:
Gavriluţ, A. (2010). The general Gould type integral with respect to a multisubmeasure. Mathematica Slovaca, 60(3), 289-318. 0139-9918. DOI: https://doi.org/10.2478/s12175-010-0013-y
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