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

中图分类号：

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.

引用

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