Improved Hermite-Hadamard type inequalities by using thep-convexity of differentiable mappings

被引：2

作者：

Dragomir, Sever Silvestru ^{[1
,2
]}

Latif, Muhammad Amer ^{[3
]}

Momoniat, Ebrahim ^{[4
]}

机构：

[1] Victoria Univ, Coll Engn & Sci, Math, POB 14428, Melbourne, Vic 8001, Australia

[2] Univ Witwatersrand, Sch Comp Sci & Appl Math, Private Bag 3, ZA-2050 Johannesburg, South Africa

[3] King Faisal Univ, Dept Basic Sci, Al Hufuf 31982, Al Hasa, Saudi Arabia

[4] Univ Johannesburg, Dept Math & Appl Math, POB 524, ZA-2006 Auckland Pk, South Africa

来源：

QUAESTIONES MATHEMATICAE | 2021年 / 44卷 / 08期

关键词：

Convex functions; p-convex functions; harmonically convex function; Hermite-Hadamard inequalities; REAL NUMBERS;

D O I：

10.2989/16073606.2020.1768170

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, a new identity is established for differentiable mappings. By using the mathematical analysis techniques, some new integral inequalities of Hermite-Hadamard type for differentiablep-convex functions are proved. A comparison of the established results with previously obtained results is demonstrated to show that the results presented in this paper are better than those already exist in literature.

引用

页码：1077 / 1094

页数：18

共 10 条

[1] Refinements of Hadamard-type inequalities for quasi-convex functions with applications to trapezoidal formula and to special means [J].