New Quantum Hermite-Hadamard Inequalities Utilizing Harmonic Convexity of the Functions

Bandar Bin-Mohsin; Muhammad Uzair Awan; Muhammad Aslam Noor; Latifa Riahi; Khalida Inayat Noor; Bander Almutairi

doi:10.1109/ACCESS.2019.2897680

IEEE Access (Jan 2019)

New Quantum Hermite-Hadamard Inequalities Utilizing Harmonic Convexity of the Functions

Bandar Bin-Mohsin,
Muhammad Uzair Awan,
Muhammad Aslam Noor,
Latifa Riahi,
Khalida Inayat Noor,
Bander Almutairi

Affiliations

Bandar Bin-Mohsin: Department of Mathematics, College of Science, King Saud University, Riyadh, Saudi Arabia
Muhammad Uzair Awan: ORCiD; Government College University Faisalabad, Faisalabad, Pakistan
Muhammad Aslam Noor: COMSATS University Islamabad, Islamabad, Pakistan
Latifa Riahi: Faculty of Sciences of Tunis, University of Tunis El Manar, Tunis, Tunisia
Khalida Inayat Noor: COMSATS University Islamabad, Islamabad, Pakistan
Bander Almutairi: Department of Mathematics, College of Science, King Saud University, Riyadh, Saudi Arabia

DOI: https://doi.org/10.1109/ACCESS.2019.2897680
Journal volume & issue: Vol. 7
pp. 20479 – 20483

Abstract

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The aim of this paper is to obtain some new Hermite-Hadamard type of inequalities via harmonic convex, strongly harmonic convex, strongly harmonic log-convex functions, and AH-convex in connection with quantum calculus. All the results reduce to ordinary calculus case when q → 1-.

Published in IEEE Access

ISSN: 2169-3536 (Online)
Publisher: IEEE
Country of publisher: United States
LCC subjects: Technology: Electrical engineering. Electronics. Nuclear engineering
Website: https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=6287639

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