Generalization of Hermite-Hadamard inequality for differentiable convex and quasi-convex function

Bhavin M. Rachhadiya; Twinkle R. Singh

Generalization of Hermite-Hadamard inequality for differentiable convex and quasi-convex function

Authors

Bhavin M. Rachhadiya Department of Mathematics, Sardar vallabhbhai National Institute of Technology, India https://orcid.org/0009-0005-3174-762X
Twinkle R. Singh Department of Mathematics, Sardar vallabhbhai National Institute of Technology, India https://orcid.org/0009-0005-3174-762X

Keywords:

Hermite-Hadamard inequality, quasi-convex function, convex function

Abstract

In this paper, the generalization of Simpson’s identity has been derived. This generalized identity has been used to obtain new Hermite-Hadamard inequalities for differentiable convex and quasi-convex functions. Also, the validation of the derived inequalities has been established using suitable examples.

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Published

2024-04-08

How to Cite

Bhavin M. Rachhadiya, & Twinkle R. Singh. (2024). Generalization of Hermite-Hadamard inequality for differentiable convex and quasi-convex function. Journal of Computational Analysis and Applications (JoCAAA), 33(1A), 21–32. Retrieved from https://eudoxuspress.com/index.php/pub/article/view/11