Search results for "Hake property"

showing 2 items of 2 documents

Generalized Hake property for integrals of Henstock type

2013

An integral of Henstock-Kurzweil type is considered relative to an abstract differential basis in a topological space. It is shown that under certain conditions posed onto the basis this integral satisfies the generalized Hake property.

Pure mathematicsProperty (philosophy)HakeBasis (linear algebra)Settore MAT/05 - Analisi MatematicaGeneral MathematicsMathematical analysisMathematics::Classical Analysis and ODEsTopological spaceType (model theory)Hake propertyDifferential (mathematics)Mathematics
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A version of Hake’s theorem for Kurzweil–Henstock integral in terms of variational measure

2019

Abstract We introduce the notion of variational measure with respect to a derivation basis in a topological measure space and consider a Kurzweil–Henstock-type integral related to this basis. We prove a version of Hake’s theorem in terms of a variational measure.

derivation basiGeneral Mathematics010102 general mathematicsMeasure (physics)variational measureKurzweil-Henstock integralHake property01 natural sciences010101 applied mathematicsTopological measure spaceHakeSettore MAT/05 - Analisi MatematicaApplied mathematics0101 mathematicsMathematicsGeorgian Mathematical Journal
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