Some inequalities of Hermite-Hadamard type for n-times differentiable (ρ, m)-geometrically convex functions

被引：16
|
作者：
Zafar, Fiza [1 ]
Kalsoom, Humaira [1 ]
Hussain, Nawab [2 ]
机构：
[1] Bahauddin Zakariya Univ, CASPAM, Multan 60800, Pakistan
[2] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia
来源：
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2015年 / 8卷 / 03期
关键词：
Hermite-Hadamard inequality; (rho; m)-geometrically convex functions; n-times differentiable function; MAPPINGS;
D O I：
10.22436/jnsa.008.03.04
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, some generalized Hermite-Hadamard type inequalities for n-times differentiable (rho, m)-geometrically convex function are established. The new inequalities recapture and give new estimates of the previous inequalities for first differentiable functions as special cases. The estimates for trapezoid, midpoint, averaged mid-point trapezoid and Simpson's inequalities can also be obtained for higher differentiable generalized geometrically convex functions. (C) 2015 All rights reserved.
引用
收藏
页码：201 / 217
页数：17
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