Hermite–Hadamard-Type Inequalities for the Generalized Geometrically Strongly Modified h-Convex Functions

Xishan Yu, Muhammad Shoaib Saleem, Shumaila Waheed, Ilyas Khan and Ji Gao

Journal of Mathematics, 2021, vol. 2021, 1-14

Abstract: Convexity theory becomes a hot area of research due to its applications in pure and applied mathematics, especially in optimization theory. The aim of this paper is to introduce a broader class of convex functions by unifying geometrically strong convex function with h convex functions. This new class of functions is called as generalized geometrically strongly modified h-convex functions. We established Hermite–Hadamard-type inequalities for the generalized geometrically strongly modified h-convex functions. Our results can be considered as generalization and extension of literature.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:9970389

DOI: 10.1155/2021/9970389

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