Generalization of the Jensen inequality for pseudo-integral |
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| Authors: | Endre Pap Mirjana Štrboja |
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| Affiliation: | Department of Mathematics and Informatics, Faculty of Sciences and Mathematics, University of Novi Sad, Trg Dositeja Obradovi?a 4, 21000 Novi Sad, Serbia |
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| Abstract: | Generalizations of the Jensen integral inequality for the pseudo-integral are proven. There are considered two cases of the real semiring with pseudo-operations: one, when pseudo-operations are defined by monotone and continuous function g (then the pseudo-integral reduces on g-integral), and the second semiring (a,b],max,⊙), where the pseudo-multiplication ⊙ is generated. |
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| Keywords: | Jensen&rsquo s inequality Semiring Pseudo-addition Pseudo-multiplication Pseudo-integral |
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