Generalization of the Stolarsky type inequality for pseudo-integrals

Authors:
Bayaz Daraby
Affiliations:
Department of Mathematics, University of Maragheh, P.O. Box 55181-83111, Maragheh, Iran
Venue:
Fuzzy Sets and Systems
Year:
2012

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Abstract

In this paper, we prove a Stolarsky type inequality for two classes of pseudo-integrals. One of them deals with pseudo-integrals where pseudo-operations are defined via a monotone and continuous generator function. The other one concerns the pseudo-integrals based on a semiring with an idempotent addition and a generated pseudo-multiplication.