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The Sugeno integral with respect to α-preinvex functions

作者: 时间:2021-06-18 浏览次数:

The Sugeno integral with respect to α-preinvex functions

Jiagen Liao a , Shanhe Wu b , Tingsong Du a,c,


Abstract

In this paper, we establish the left hand side of the Hermite–Hadamard inequality for α-preinvex functions, and illustrate that the Hermite–Hadamard inequality for α-preinvex functions is not valid for the Sugeno integral. Moreover, we give several upper bounds for the Sugeno integral related to α-preinvex functions. Some examples are also provided to show the validity of our results.

Keywords: Hermite–Hadamard inequality; Sugeno integral; α-Preinvex function


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