Chebyshev type inequalities for pseudo-integrals

By H. Agahi, Radko Mesiar, Ouyang Yao. 2010

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Abstract Chebyshev type inequalities for two classes of pseudo-integrals are shown. One of them concerning the pseudo-integrals based on a function reduces on the g -integral where pseudo-operations are defined by a monotone and continuous function g . Another one concerns the pseudo-integrals based on a semiring ( [ a , b ] , max , ⊙ ) , where ⊙ is generated. Moreover, a strengthened version of Chebyshev’s inequality for pseudo-integrals is proved.

Subfields: Applied Mathematics, Mathematical Physics, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/d6a34f6914dd141c49e026249801de4881d89dff