Some Hermite-Hadamard type inequalities for (P, m)-function and quasi m-convex functions

被引：6
|
作者：
Kadakal, Mahir [1 ]
机构：
[1] Giresun Univ, Dept Math, Gure Campus, Giresun, Turkey
来源：
INTERNATIONAL JOURNAL OF OPTIMIZATION AND CONTROL-THEORIES & APPLICATIONS-IJOCTA | 2020年 / 10卷 / 01期
关键词：
Convex function; Quasi-convex function; P-function; (P; m)-function; m-Convex function; Quasi-m-convex; Hermite-Hadamard inequality;
D O I：
10.11121/ijocta.01.2020.00787
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce a new class of functions called as (P, m)-function and quasi-m-convex function. Some inequalities of Hadamard's type for these functions are given. Some special cases are discussed. Results represent significant refinement and improvement of the previous results. We should especially mention that the definition of (P, m)-function and quasi-m-convexity are given for the first time in the literature and moreover, the results obtained in special cases coincide with the well-known results in the literature.
引用
收藏
页码：78 / 84
页数：7
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