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

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 cla...

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Bibliographic Details
Main Authors: Xishan Yu, Muhammad Shoaib Saleem, Shumaila Waheed, Ilyas Khan
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2021/9970389
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Summary: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.
ISSN:2314-4629
2314-4785