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Title

Jensen's inequalities for pseudo-integrals

Year: 1400
COI: JR_IJFS-18-3_009
Language: EnglishView: 61
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Authors

D. Zhang - College of Mathematics, Changchun Normal University, Changchun ۱۳۰۰۳۲, Jilin, PR China
E. Pap - Singidunum University, ۱۱۰۰۰ Belgrade, Serbia

Abstract:

In this paper, we introduce a general(\oplus,\otimes)-convex function based on semirings ([a,b],\oplus, \otimes) with pseudo-addition \oplus andpseudo-multiplication \otimes. The generalization of the finiteJensen's inequality, as well as pseudo-integral with respect to(\oplus,\otimes)-convex functions, is obtained. This also generalizes Jensen's inequalities for Lebesgue integral and the results of Pap and \v{S}trboja \cite{۱۲}. Meanwhile, we also prove Jensen's inequalities for pseudo-integrals on semirings ([a,b], \sup, \otimes)with respect to nondecreasing functions and present correspondingresults for generalized fuzzy integrals.   

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Paper COI Code

This Paper COI Code is JR_IJFS-18-3_009. Also You can use the following address to link to this article. This link is permanent and is used as an article registration confirmation in the Civilica reference:

https://civilica.com/doc/1232347/

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Zhang, D. and Pap, E.,1400,Jensen's inequalities for pseudo-integrals,https://civilica.com/doc/1232347

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