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
• 28e10
• 26a51
• 26e60
• 26d10
• 39b62