Generalized q-integral Inequalities using (h ̄-m) and (α-m) convexities

Authors

Ghulam Farid, Department of Mathematics, COMSATS University Islamabad, Attock Campus, PakistanFollow
Waseela Bibi, Department of Mathematics, COMSATS University Islamabad, Attock Campus, PakistanFollow
Mawahib Elamin, Department of Mathematics, College of Science and Arts, Qassim University, Riyadh Alkhbra, Saudi ArabiaFollow
Huda Uones Mohamd Ahamd, Mathematics department, Faculty of arts and science, King Khalid University, Sarat Abida, Saudi ArabiaFollow
Jihan Alahmadi, Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al- Kharj, 11942, Saudi ArabiaFollow
Neama Yahia, Department of Mathematics, College of Science, Tabuk University, Tabuk, Saudi ArabiaFollow

Author Country (or Countries)

Pakistan

Abstract

In this paper certain inequalities are established for q-h-integrals by applying definitions of two types of convex functions. The Hermite-Hadamard inequality in different variants for q-h-integrals is given by using (h ̄-m)- and (α-m)-convex functions. Some well-known q-integral inequalities for several types of convex functions are deduced.

Digital Object Identifier (DOI)

https://dx.doi.org/10.18576/amis/170623

Recommended Citation

Farid, Ghulam; Bibi, Waseela; Elamin, Mawahib; Uones Mohamd Ahamd, Huda; Alahmadi, Jihan; and Yahia, Neama (2023) "Generalized q-integral Inequalities using (h ̄-m) and (α-m) convexities," Applied Mathematics & Information Sciences: Vol. 17: Iss. 6, Article 29.
DOI: https://dx.doi.org/10.18576/amis/170623
Available at: https://digitalcommons.aaru.edu.jo/amis/vol17/iss6/29