Sugeno integral for Hermite-Hadamard inequality and quasi-arithmetic means
Abstract
In this paper, we present the Sugeno integral of Hermite–Hadamard inequality for the case of quasi-arithmetically convex (q-ac) functions which acts as a generator for all quasi-arithmetic means in the frame work of Sugeno integral.
Keywords
Hermite–Hadamard inequality; quasi-arithmetic mean; Sugeno integral
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Instytut Matematyki, Uniwersytet Śląski w Katowicach Poland
https://orcid.org/0000-0001-8725-7914
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