Hermite-Hadamard type inequalities for m-convex and (α, m)-convex functions

被引：0
|
作者：
Ozcan, Serap [1 ]
机构：
[1] Kirklareli Univ, Fac Sci & Arts, Dept Math, Kirklareli, Turkey
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2020年 / 2020卷 / 01期
关键词：
m-convex function; (alpha; m)-convex function; Hermite-Hadamard type inequalities; Integral inequalities; INTEGRAL-INEQUALITIES;
D O I：
10.1186/s13660-020-02442-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, some new inequalities of the Hermite-Hadamard type for the classes of functions whose derivatives' absolute values arem-convex and(alpha,m)-convex are obtained. The results obtained in this work extend and improve the corresponding ones in the literature. Some applications to special means of real numbers are also given.
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页数：10
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