Generalized Coordinated Nonconvex Functions and Integral Inequalities

Authors

Muhammad Uzair Awan, Department of Mathematics, GC University, Faisalabad, Pakistan.Follow
Muhammad Aslam Noor, Department of Mathematics, COMSATS Institute of Information Technology, Park Road, Islamabad, Pakistan.Follow
Marcela V. Mihai, Department scientific-methodical sessions, Romanian Mathematical Society-branch Bucharest, Academy Street no. 14, RO-010014, Bucharest, Romania.Follow
Khalida Inayat Noor, Department of Mathematics, COMSATS Institute of Information Technology, Park Road, Islamabad, Pakistan.Follow

Author Country (or Countries)

Pakistan.

Abstract

In this paper, we introduce the notion of the generalized convex functions involving 2-variables on coordinates and arbitrary bifunction h(., .) on coordinates. Using the concepts of ordinary and fractional calculus some new refinements of Hermite-Hadamard like integral inequalities are also derived via generalized convex functions involving 2-variables on coordinates.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/journal/100308

Recommended Citation

Uzair Awan, Muhammad; Aslam Noor, Muhammad; V. Mihai, Marcela; and Inayat Noor, Khalida (2018) "Generalized Coordinated Nonconvex Functions and Integral Inequalities," Applied Mathematics & Information Sciences: Vol. 12: Iss. 2, Article 8.
DOI: http://dx.doi.org/10.18576/journal/100308
Available at: https://digitalcommons.aaru.edu.jo/amis/vol12/iss2/8