Some fractional extensions of trapezium inequalities via coordinated harmonic convex functions
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Authors
Muhammad Uzair Awan
- Government College University, Faisalabad, Pakistan.
Muhammad Aslam Noor
- Mathematics Department, King Saud University, Riyadh, Saudi Arabia.
- Mathematics Department, COMSATS Institute of Information, Technology, Islamabad, Pakistan.
Marcela V. Mihai
- Department scientific-methodical sessions, Romanian Mathematical Society-branch Bucharest, Academy Street no. 14, RO-010014, Bucharest, Romania.
Khalida Inayat Noor
- COMSATS Institute of Information Technology, Islamabad, Pakistan.
Abstract
In this article, we derive a new fractional estimate for Hermite-Hadamard’s inequality via coordinated harmonic convex
functions on a rectangle from the plane \(\mathbb{R}^2\). We establish a new fractional integral identity for partially differentiable functions.
Utilizing this integral identity, we obtain some more fractional estimates for Hermite-Hadamard’s inequality. The ideas of this
paper may stimulate further research.
Share and Cite
ISRP Style
Muhammad Uzair Awan, Muhammad Aslam Noor, Marcela V. Mihai, Khalida Inayat Noor, Some fractional extensions of trapezium inequalities via coordinated harmonic convex functions, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 4, 1714--1730
AMA Style
Awan Muhammad Uzair, Noor Muhammad Aslam, Mihai Marcela V., Noor Khalida Inayat, Some fractional extensions of trapezium inequalities via coordinated harmonic convex functions. J. Nonlinear Sci. Appl. (2017); 10(4):1714--1730
Chicago/Turabian Style
Awan, Muhammad Uzair, Noor, Muhammad Aslam, Mihai, Marcela V., Noor, Khalida Inayat. "Some fractional extensions of trapezium inequalities via coordinated harmonic convex functions." Journal of Nonlinear Sciences and Applications, 10, no. 4 (2017): 1714--1730
Keywords
- Harmonic convex functions
- fractional
- trapezium
- Hermite-Hadamard inequalities.
MSC
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