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Some Inequalities Related to Interval-Valued ηh-Convex Functions

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  • Lei Chen
  • Muhammad Shoaib Saleem
  • Muhammad Sajid Zahoor
  • Rahat Bano
  • Xiaolong Qin

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.

Suggested Citation

  • Lei Chen & Muhammad Shoaib Saleem & Muhammad Sajid Zahoor & Rahat Bano & Xiaolong Qin, 2021. "Some Inequalities Related to Interval-Valued ηh-Convex Functions," Journal of Mathematics, Hindawi, vol. 2021, pages 1-11, April.
    • Handle: RePEc:hin:jjmath:6617074
    DOI: 10.1155/2021/6617074
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