SOME NEW INTEGRAL INEQUALITIES FOR FUNCTIONS WHOSE DERIVATIVES OF ABSOLUTE VALUES ARE CONVEX AND CONCAVE

被引：0

作者：

Ozdemir, M. Emin ^{[1
]}

Ekinci, Alper ^{[2
]}

Akdemir, Ahmet Ocak ^{[3
]}

机构：

[1] Uludag Univ, Educ Fac, Bursa, Turkey

[2] Bandirma Univ, Bandirma Vocat High Sch, Balikesir, Turkey

[3] Ibrahim Cecen Univ Agri, Fac Arts & Sci, Dept Math, Agri, Turkey

来源：

TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS | 2019年 / 10卷 / 02期

关键词：

convex functions; concave functions; Hermite-Hadamard inequality; Power-Mean inequality;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove some new inequalities for the functions whose derivatives' absolute values are convex and concave by dividing the interval [a, b] to n + 1 equal even sub-intervals. We obtain some new results involving intermediate values of vertical bar f'vertical bar in [a, b] by using some classical inequalities like Hermite-Hadamard, Holder and Power-Mean.

引用

页码：212 / 224

页数：13

共 12 条

[1]

Akdemir AO, 2010, AIP CONF PROC, V1309, P7, DOI 10.1063/1.3525212

[2] On some inequalities for h-concave functions [J].