The set-valued function in general is an important mathematical notion that plays a crucial role in several practical areas. Also, the Jensen integral inequality is a significant mathematical tool that has applications in many areas, such as statistics, statistical physics, information theory, etc. Since the pseudo-analysis is, as well, a theory of the vast area of possible applications, this paper is focused on the generalization of Jensen integral inequality for the set-valued functions done in the pseudo-analysis' background. For this purpose two cases of the semirings and the corresponding pseudo-integrals of set-valued functions have been considered. ©2010 IEEE.
Jensen type inequalities for pseudo-integrals of set-valued functions / Tatjana, Grbic; M., Stroboja; Ivana Stajner, Papuga; Vivona, Doretta; Biljana, Mihailovic. - ELETTRONICO. - 1:(2010), pp. 597-600. (Intervento presentato al convegno 8th IEEE International Symposium on Intelligent Systems and Informatics, SIISY 2010 tenutosi a Subotica; Serbia nel 10 September 2010 through 11 September 2010) [10.1109/sisy.2010.5647169].
Jensen type inequalities for pseudo-integrals of set-valued functions
VIVONA, Doretta;
2010
Abstract
The set-valued function in general is an important mathematical notion that plays a crucial role in several practical areas. Also, the Jensen integral inequality is a significant mathematical tool that has applications in many areas, such as statistics, statistical physics, information theory, etc. Since the pseudo-analysis is, as well, a theory of the vast area of possible applications, this paper is focused on the generalization of Jensen integral inequality for the set-valued functions done in the pseudo-analysis' background. For this purpose two cases of the semirings and the corresponding pseudo-integrals of set-valued functions have been considered. ©2010 IEEE.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
