Abstract
This paper propose a Berwald type inequality and a Favard type inequality for Sugeno integrals. That is, we first show that [Formula: see text] holds for some constant [Formula: see text] where f is a monotone and concave function on [0, 1] and [Formula: see text] is the Lebesgue measure on [Formula: see text]. If q = 1, then as a special case of the Berwald type inequality, we show that the following Favard type inequality holds for Sugeno integrals [Formula: see text] A deeper discussion for Favard type inequality for Sugeno integrals using Berwald type inequality is also considered. Some examples are provided to illustrate the optimality of the proposed inequality.
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