Sugeno integral for Hermite-Hadamard inequality and quasi-arithmetic means

Timothy Nadhomi

Published: 2023-05-30

Vol. 37 No. 2 (2023)

Sugeno integral for Hermite-Hadamard inequality and quasi-arithmetic means

Timothy Nadhomi

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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Nadhomi, T. (2023). Sugeno integral for Hermite-Hadamard inequality and quasi-arithmetic means. Annales Mathematicae Silesianae, 37(2), 294–305. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/15622

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Vol. 37 No. 2 (2023)
Published: 2023-09-21

ISSN: 0860-2107

eISSN: 2391-4238

10.1515/amsil

Publisher

University of Silesia Press

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