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Mathematics 2019, 7(2), 152; https://doi.org/10.3390/math7020152

Some Quantum Estimates of Hermite-Hadamard Inequalities for Quasi-Convex Functions

1,†
,
1,*,†
and
2
1
College of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, China
2
Department of Mathematics, Hanseo University, Chungnam-do, Seosan-si 356-706, Korea
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Received: 18 December 2018 / Revised: 22 January 2019 / Accepted: 2 February 2019 / Published: 5 February 2019
(This article belongs to the Special Issue Inequalities)
Full-Text   |   PDF [298 KB, uploaded 20 February 2019]

Abstract

In this paper, we develop some quantum estimates of Hermite-Hadamard type inequalities for quasi-convex functions. In some special cases, these quantum estimates reduce to the known results. View Full-Text
Keywords: quantum estimates; Hermite-Hadamard type inequalities; quasi-convex quantum estimates; Hermite-Hadamard type inequalities; quasi-convex
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Zhuang, H.; Liu, W.; Park, J. Some Quantum Estimates of Hermite-Hadamard Inequalities for Quasi-Convex Functions. Mathematics 2019, 7, 152.

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