Yasin, Sabir and Misiran, Masnita and Omar, Zurni (2022) Extended Hermite-Hadamard (H − H) and Fejer’s Inequalities Based on (H1, H2, S)-Convex Functions. International Journal of Analysis and Applications, 13 (1). pp. 2885-2895. ISSN 2008-6822

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Abstract

In this paper, (h1, h2)-convex and s-convex functions are merged to form (h1, h2, s)-convex function. Inequalities of the Hermite-Hadamard (H-H) and Fejer’s types will then be extended by using the (h1, h2, s)-convex function and its derivatives. Some special cases for these extended H-H and Fejer’s inequalities are also explored in order to get the previously specified results. The relationship between newly constructed Hermite-Hadamard (H − H) and Fejer’s types of inequalities with the average (mean) values are also discussed

Item Type:	Article
Uncontrolled Keywords:	Inequality, Hermite-Hadamard (H-H), Fejer, Convex function 2010 MSC: 26B2
Subjects:	Q Science > QA Mathematics
Divisions:	UNSPECIFIED
Depositing User:	Mdm. Sarkina Mat Saad @ Shaari
Date Deposited:	10 Jun 2024 08:30
Last Modified:	10 Jun 2024 08:30
URI:	https://repo.uum.edu.my/id/eprint/30849

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