Search results for "derivation basi"

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Generality of Henstock-Kurzweil type integral on a compact zero-dimensional metric space

2011

ABSTRACT A Henstock-Kurzweil type integral on a compact zero-dimensional metric space is investigated. It is compared with two Perron type integrals. It is also proved that it covers the Lebesgue integral.

General MathematicsInjective metric spaceMathematical analysisLebesgue's number lemmaHenstock-kurzweil integral Perron integral derivation basisRiemann–Stieltjes integralRiemann integralLebesgue integrationVolume integralsymbols.namesakeDifferentiation of integralsSettore MAT/05 - Analisi MatematicasymbolsDaniell integralMathematics
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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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