About: Variational measures and the Kurzweil-Henstock integral

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	For a given continuous function F on a compact interval E in the set a%22e of reals the problem is how to describe the %22total change%22 of F on a set M aS, E. Full variational measures W (F) (M) and V (F) (M) (see Section 2) in the sense presented by B. S. Thomson are introduced in this work to this aim. They are generated by two slightly different interval functions, namely the oscillation of F over an interval and the value of the additive interval function generated by F, respectively. They coincide with the concept of classical total variation if M is an interval and they are zero if on the set M the function F is of negligible variation. The Kurzweil-Henstock integration is shortly described and some of its properties are studied using the variational measure W (F) (M) for the indefinite integral F of an integrable function f. For a given continuous function F on a compact interval E in the set a%22e of reals the problem is how to describe the %22total change%22 of F on a set M aS, E. Full variational measures W (F) (M) and V (F) (M) (see Section 2) in the sense presented by B. S. Thomson are introduced in this work to this aim. They are generated by two slightly different interval functions, namely the oscillation of F over an interval and the value of the additive interval function generated by F, respectively. They coincide with the concept of classical total variation if M is an interval and they are zero if on the set M the function F is of negligible variation. The Kurzweil-Henstock integration is shortly described and some of its properties are studied using the variational measure W (F) (M) for the indefinite integral F of an integrable function f. (en)
Title	Variational measures and the Kurzweil-Henstock integral Variational measures and the Kurzweil-Henstock integral (en)
skos:prefLabel	Variational measures and the Kurzweil-Henstock integral Variational measures and the Kurzweil-Henstock integral (en)
skos:notation	RIV/67985840:_____/09:00334190!RIV10-AV0-67985840
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(IAA100190702), Z(AV0Z10190503)
http://linked.open...iv/cisloPeriodika	6
http://linked.open...vai/riv/dodaniDat	2010
http://linked.open...aciTvurceVysledku	Schwabik, Štefan
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Matematický ústav AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	348489
http://linked.open...ai/riv/idVysledku	RIV/67985840:_____/09:00334190
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	variational measure; Kurzweil-Henstock integral (en)
http://linked.open.../riv/klicoveSlovo	variational measure Kurzweil-Henstock integral
http://linked.open...odStatuVydavatele	SK - Slovenská republika
http://linked.open...ontrolniKodProRIV	[9C96D2C37A68]
http://linked.open...i/riv/nazevZdroje	Mathematica Slovaca
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...vavai/riv/projekt	Summation integration and generalized differential equations
http://linked.open...UplatneniVysledku	2009
http://linked.open...v/svazekPeriodika	59
http://linked.open...iv/tvurceVysledku	Schwabik, Štefan
http://linked.open...ain/vavai/riv/wos	000271672800008
http://linked.open...n/vavai/riv/zamer	Rozvoj a prohloubení obecných matematických poznatků a jejich užití v dalších vědních oborech a v praxi
issn	0139-9918
number of pages	22 (xsd:int)
is http://linked.open...avai/riv/vysledek of	Variational measures and the Kurzweil-Henstock integral Variational measures and the Kurzweil-Henstock integral Variational measures and the Kurzweil-Henstock integral Variational measures and the Kurzweil-Henstock integral

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