About: Berwald type inequality for Sugeno integral

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	Nonadditive measure is a generalization of additive probability measure. Sugeno integral is a useful tool in several theoretical and applied statistics which has been built on non-additive measure. Integral inequalities play important roles in classical probability and measure theory. The classical Berwald integral inequality is one of the famous inequalities. This inequality turns out to have interesting applications in information theory. In this paper, Berwald type inequality for the Sugeno integral based on a concave function is studied. Several examples are given to illustrate the validity of this inequality. Finally, a conclusion is drawn and a problem for further investigations is given. Nonadditive measure is a generalization of additive probability measure. Sugeno integral is a useful tool in several theoretical and applied statistics which has been built on non-additive measure. Integral inequalities play important roles in classical probability and measure theory. The classical Berwald integral inequality is one of the famous inequalities. This inequality turns out to have interesting applications in information theory. In this paper, Berwald type inequality for the Sugeno integral based on a concave function is studied. Several examples are given to illustrate the validity of this inequality. Finally, a conclusion is drawn and a problem for further investigations is given. (en)
Title	Berwald type inequality for Sugeno integral Berwald type inequality for Sugeno integral (en)
skos:prefLabel	Berwald type inequality for Sugeno integral Berwald type inequality for Sugeno integral (en)
skos:notation	RIV/67985556:_____/10:00358806!RIV12-AV0-67985556
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GA402/08/0618), Z(AV0Z10750506)
http://linked.open...iv/cisloPeriodika	8
http://linked.open...vai/riv/dodaniDat	2012
http://linked.open...aciTvurceVysledku	Mesiar, Radko
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	Ústav teorie informace a automatizace AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	248620
http://linked.open...ai/riv/idVysledku	RIV/67985556:_____/10:00358806
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Berwald's inequality; Nonadditive measure; Sugeno integral (en)
http://linked.open.../riv/klicoveSlovo	Sugeno integral Berwald's inequality Nonadditive measure
http://linked.open...odStatuVydavatele	NL - Nizozemsko
http://linked.open...ontrolniKodProRIV	[CCB3ACCE107A]
http://linked.open...i/riv/nazevZdroje	Applied Mathematics and Computation
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	5 (xsd:int)
http://linked.open...vavai/riv/projekt	Size and value of information in the optimization over incomplete data
http://linked.open...UplatneniVysledku	2010
http://linked.open...v/svazekPeriodika	217
http://linked.open...iv/tvurceVysledku	Mesiar, Radko Endre, P. Hamzeh, A. Mirjama, Š. Yao, O.
http://linked.open...ain/vavai/riv/wos	000284600700046
http://linked.open...n/vavai/riv/zamer	Pokročilé matematické metody získávání, zpracování a využití informací a znalostí ve složitých a nedeterministických systémech
issn	0096-3003
number of pages	9 (xsd:int)
http://bibframe.org/vocab/doi	10.1016/j.amc.2010.10.027
is http://linked.open...avai/riv/vysledek of	Berwald type inequality for Sugeno integral Berwald type inequality for Sugeno integral

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