Some Integral Inequalities for h-Godunova-Levin Preinvexity
1
Department of Mathematics, University of Hafr Al-Batin, Hafr Al-Batin 31991, Saudi Arabia
2
Department of Mathematics, Universiti Putra Malaysia, Serdang 43400, Malaysia
*
Author to whom correspondence should be addressed.
†
These authors contributed equally to this work.
Symmetry 2019, 11(12), 1500; https://doi.org/10.3390/sym11121500
Received: 15 November 2019 / Revised: 6 December 2019 / Accepted: 9 December 2019 / Published: 11 December 2019
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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Keywords:
Hermite–Hadamard inequality; h-convexity; h-Godunova–Levin function; h-Godunova–Levin preinvex function
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MDPI and ACS Style
Almutairi, O.; Kılıçman, A. Some Integral Inequalities for h-Godunova-Levin Preinvexity. Symmetry 2019, 11, 1500. https://doi.org/10.3390/sym11121500
AMA Style
Almutairi O, Kılıçman A. Some Integral Inequalities for h-Godunova-Levin Preinvexity. Symmetry. 2019; 11(12):1500. https://doi.org/10.3390/sym11121500
Chicago/Turabian StyleAlmutairi, Ohud; Kılıçman, Adem. 2019. "Some Integral Inequalities for h-Godunova-Levin Preinvexity" Symmetry 11, no. 12: 1500. https://doi.org/10.3390/sym11121500
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