广义几何凸函数与不等式
Generalized geometrically convex functions and inequalities.
作者信息
Noor Muhammad Aslam, Noor Khalida Inayat, Safdar Farhat
机构信息
Department of Mathematics, King Saud University, Riyadh, Saudi Arabia.
Department of Mathematics, COMSATS Institute of Information Technology, Park Road, Islamabad, Pakistan.
出版信息
J Inequal Appl. 2017;2017(1):202. doi: 10.1186/s13660-017-1477-x. Epub 2017 Aug 29.
In this paper, we introduce and study a new class of generalized functions, called generalized geometrically convex functions. We establish several basic inequalities related to generalized geometrically convex functions. We also derive several new inequalities of the Hermite-Hadamard type for generalized geometrically convex functions. Several special cases are discussed, which can be deduced from our main results.
在本文中，我们引入并研究了一类新的广义函数，称为广义几何凸函数。我们建立了一些与广义几何凸函数相关的基本不等式。我们还推导了广义几何凸函数的几个新的Hermite-Hadamard型不等式。讨论了几个特殊情况，这些情况可以从我们的主要结果中推导出来。
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