Some Inequalities Related to Interval-Valued ηh-Convex Functions

Lei Chen, Muhammad Shoaib Saleem, Muhammad Sajid Zahoor, Rahat Bano and Xiaolong Qin

Journal of Mathematics, 2021, vol. 2021, 1-11

Abstract: Convexity plays an important role in many areas of mathematics, especially in the study of optimization problems where they are distinguished by a number of convenient properties. Our aim is to introduce a more extended version of convexity. In this paper, we introduced interval-valued generalized ηh convex function and proved Hermite–Hadamard-, Jensen-, and Ostrowski-type inequalities in this generalization. The presented results are generalizations of many existing results of literature.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:6617074

DOI: 10.1155/2021/6617074

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