Jensen–Mercer inequality for GA-convex functions and some related inequalities

被引：0
|
作者：
İmdat İşcan
机构：
[1] Giresun University,Department of Mathematics, Faculty of Arts and Sciences
来源：
Journal of Inequalities and Applications | / 2020卷
关键词：
GA-convex function; Jensen–Mercer inequality; Hadamard fractional integrals; Hermite–Hadamard inequality; 26A51; 26D15; 26A33;
D O I：
暂无
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学科分类号：
摘要：
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.
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