Search results for " Henstock-Kurzweil integral"

showing 3 items of 3 documents

Integration by parts for the Lr Henstock-Kurzweil integral

2015

Musial and Sagher [4] described a Henstock-Kurzweil type integral that integrates Lr-derivatives. In this article, we develop a product rule for the Lr-derivative and then an integration by parts formula.

Lr Henstock-Kurzweil IntegralSettore MAT/05 - Analisi MatematicaHenstock-KurzweilIntegration by part
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Decomposability in the space of HKP-integrable functions

2014

In this paper we introduce the notion of decomposability in the space of Henstock-Kurzweil-Pettis integrable (for short HKP-integrable) functions. We show representations theorems for decomposable sets of HKP-integrable or Henstock integrable functions, in terms of the family of selections of suitable multifunctions.

Settore MAT/05 - Analisi MatematicaMultifunction Henstock-Kurzweil integral Henstock-Kurzweil-Pettis integral decomposability
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Representation of quasi-measure by a Henstock-Kurzweil type integral on a compact zero-dimensional metric space

2009

A derivation basis is introduced in a compact zero-dimensional metric space X. A Henstock-Kurzweil type integral with respect to this basis is defined and used to represent the so-called quasi-measure on X.

Settore MAT/05 - Analisi MatematicaQuasi measure Henstock-Kurzweil integral compact metric space
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