Czasopismo
2010
|
Vol. 43, nr 3
|
497-510
Tytuł artykułu
Autorzy
Wybrane pełne teksty z tego czasopisma
Warianty tytułu
Języki publikacji
Abstrakty
The present paper deals with the study of superior variation m+, inferior variation m¯ and total variation |m| of an extended real-valued function m defined on an effect algebra L; having obtained a Jordan type decomposition theorem for a locally bounded real-valued measure m defined on L, we have observed that the range of a non-atomic function m defined on a D-lattice L is an interval (—m¯ (1), m+(1)). Finally, after introducing the notion of a relatively non-atomic measure on an effect algebra L, we have proved an analogue of Lyapunov convexity theorem for this measure.
Czasopismo
Rocznik
Tom
Strony
497-510
Opis fizyczny
Bibliogr. 38 poz.
Twórcy
autor
autor
- Department of Mathematics University of Allahabad Allahabad-211002, India Mailing address: 10 C.S.P. Singh Marg Allahabad-211 001, India, dr.mkhare@gmail.com
Bibliografia
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Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA4-0032-0014