Some New Inequalities for LR-Log-h-Convex Interval-Valued Functions by Means of Pseudo Order Relation

Authors

M. B. Khan, Department of Mathematics, COMSATS University Islamabad, Islamabad, PakistanFollow
M. Aslam Noor, Department of Mathematics, COMSATS University Islamabad, Islamabad, PakistanFollow
Hilal M. Y. Al-Bayatti, Department of Computer Science, College of Arts and Science, Applied Science University, P.O. Box 5055, East Al-Ekir, Kingdom of BahrainFollow
Khalida Inayat Noor, Department of Mathematics, COMSATS University Islamabad, Islamabad, PakistanFollow

Author Country (or Countries)

Pakistan

Abstract

In this paper, we introduce the concept of LR-log-h-convex interval-valued functions. Under the new concept, we present new versions of Hermite-Hadamard inequalities (i.e. LR-interval Hermite-Hadamard type inequalities) by means of pseudo order relation. This order relation is defined on interval space. Some Jensen type inequalities are also derived for LR-log-h-convex interval-valued functions. Moreover, we have shown that our results include a wide class of new and known inequalities for LR-log-h-convex interval-valued functions and their variant forms as special cases. Useful examples that verify the applicability of the theory developed in this study are presented. The concepts and techniques of this paper will be a starting point for further research in this area.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/150408

Recommended Citation

B. Khan, M.; Aslam Noor, M.; M. Y. Al-Bayatti, Hilal; and Inayat Noor, Khalida (2021) "Some New Inequalities for LR-Log-h-Convex Interval-Valued Functions by Means of Pseudo Order Relation," Applied Mathematics & Information Sciences: Vol. 15: Iss. 4, Article 8.
DOI: http://dx.doi.org/10.18576/amis/150408
Available at: https://digitalcommons.aaru.edu.jo/amis/vol15/iss4/8