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Jensen–Mercer inequality for GA-convex functions and some related inequalities
Journal of Inequalities and Applications ( IF 1.6 ) Pub Date : 2020-08-27 , DOI: 10.1186/s13660-020-02478-7
İmdat İşcan

In this paper, firstly, we prove a Jensen–Mercer inequality for GA-convex functions. After that, we establish weighted Hermite–Hadamard’s inequalities for GA-convex functions using the new Jensen–Mercer inequality, and we establish some new inequalities connected with Hermite–Hadamard–Mercer type inequalities for differentiable mappings whose derivatives in absolute value are GA-convex.

中文翻译:

GA凸函数的Jensen–Mercer不等式及一些相关不等式

在本文中,首先,我们证明了GA凸函数的Jensen-Mercer不等式。此后,我们使用新的Jensen-Mercer不等式建立GA凸函数的加权Hermite-Hadamard不等式,并为与其绝对值导数为GA-凸的可微映射建立与Hermite-Hadamard-Mercer型不等式有关的一些新不等式。 。
更新日期:2020-08-27
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