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Some integral inequalities for h-Godunova-Levin preinvexity


Almutairi, Ohud and Kilicman, Adem (2019) Some integral inequalities for h-Godunova-Levin preinvexity. Symmetry, 11 (12). art. no. 1500. pp. 1-10. ISSN 2073-8994


In this study, we define new classes of convexity called h-Godunova–Levin and h-Godunova–Levin preinvexity, through which some new inequalities of Hermite–Hadamard type are established. These new classes are the generalization of several known convexities including the s-convex, P-function, and Godunova–Levin. Further, the properties of the h-Godunova–Levin function are also discussed. Meanwhile, the applications of h-Godunova–Levin Preinvex function are given.

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Official URL or Download Paper: https://www.mdpi.com/2073-8994/11/12/1500

Additional Metadata

Item Type: Article
Divisions: Faculty of Science
DOI Number: https://doi.org/10.3390/sym11121500
Publisher: MDPI
Keywords: Hermite–Hadamard inequality; h-convexity; h-Godunova–Levin function; h-Godunova–Levin preinvex function
Depositing User: Nabilah Mustapa
Date Deposited: 04 May 2020 15:52
Last Modified: 04 May 2020 15:52
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.3390/sym11121500
URI: http://psasir.upm.edu.my/id/eprint/38201
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