<ce:italic>q</ce:italic>-Hermite Hadamard inequalities and quantum estimates for midpoint type inequalities via convex and quasi-convex functions

Necmettin Alp; Mehmet Zeki Sar?kaya; Mehmet Kunt; ?mdat ??can

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q-Hermite Hadamard inequalities and quantum estimates for midpoint type inequalities via convex and quasi-convex functions

机译： q -Hermite Hadamard不等式和通过凸和拟凸函数的中点类型不等式的量子估计

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In this paper, we prove the correct q -Hermite–Hadamard inequality, some new q -Hermite–Hadamard inequalities, and generalized q -Hermite–Hadamard inequality. By using the left hand part of the correct q -Hermite–Hadamard inequality, we have a new equality. Finally using the new equality, we give some q -midpoint type integral inequalities through q -differentiable convex and q -differentiable quasi-convex functions. Many results given in this paper provide extensions of others given in previous works.

机译：在本文中，我们证明了正确的q -Hermite-Hadamard不等式，一些新的q -Hermite-Hadamard不等式和广义q -Hermite-Hadamard不等式。通过使用正确的q -Hermite-Hadamard不等式的左手部分，我们有了新的等式。最后，使用新的等式，通过q-可微凸和q-可微拟凸函数给出一些q-中点型积分不等式。本文给出的许多结果提供了以前工作中给出的其他结果的扩展。

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《Journal of King Saud University》 |2018年第2期|共11页
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Necmettin Alp; Mehmet Zeki Sar?kaya; Mehmet Kunt; ?mdat ??can;
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中图分类自然科学理论与方法论;
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1. Some new Hermite-Hadamard type inequalities for MT-convex functions on differentiable coordinates [J] . P.O. Mohammed Journal of King Saud University . 2018,第2期

机译：可微坐标上 MT -凸函数的一些新Hermite-Hadamard型不等式
2. Hermite-Hadamard-like type inequalities for differentiable harmonically convex and quasi-convex functions [J] . International journal of mathematical analysis . 2014,第37期

机译：可微调和凸凸函数和拟凸函数的类Hermite-Hadamard型不等式
3. Some estimates on the Hermite-Hadamard inequality through geometrically quasi-convex functions [J] . M. A. Latif, Sever S. Dragomir, E. Momoniat Miskolc Mathematical Notes . 2017,第2期

机译：通过几何拟凸函数对Hermite-Hadamard不等式的一些估计
4. On New Fractional Hermite-Hadamard Type Inequalities for n-time Differentiable Quasi-Convex Functions and PFunctions [C] . Erhan Set, M. Emin ?zdemir, E. Aykan Alan International Conference on Advances in Natural and Applied Sciences . 2017

机译：关于N-Time可分辨率准凸函数和PFunction的新的分数Hermite-Hadamard型不等式
5. Convex measures and associated geometric and functional inequalities. [D] . Melbourne, James. 2015

机译：凸测度以及相关的几何和功能不等式。
6. Weighted version of Hermite–Hadamard type inequalities for geometrically quasi-convex functions and their applications [O] . Sofian Obeidat, Muhammad Amer Latif -1

机译：几何拟凸函数的Hermite–Hadamard型不等式的加权形式及其应用
7. q-Hermite Hadamard inequalities and quantum estimates for midpoint type inequalities via convex and quasi-convex functions [O] . Alp Necmettin, Sarıkaya Mehmet Zeki, Kunt Mehmet, 2016

机译：q-Hermite Hadamard不等式和中点型不等式的凸和拟凸函数量子估计

q-Hermite Hadamard inequalities and quantum estimates for midpoint type inequalities via convex and quasi-convex functions

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