eng
Science and Education Publishing
Turkish Journal of Analysis and Number Theory
2333-1232
2015-04-17
3
2
43
48
10.12691/tjant-3-2-2
TJANT2015322
article
Some Generalizations of Integral Inequalities of Hermite-Hadamard Type for n-Time Differentiable Functions
Tian-Yu Zhang
1
Bai-Ni Guo
bai.ni.guo@hotmail.com
2
College of Mathematics, Inner Mongolia University for Nationalities, Tongliao City, Inner Mongolia Autonomous Region, China
School of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo City, Henan Province, China
In the paper, by establishing two integral identities and Hölder integral inequality, the authors generalize some integral inequalities of Hermite-Hadamard type for n-time differentiable functions on a closed interval.
http://pubs.sciepub.com/tjant/3/2/2/tjant-3-2-2.pdf
generalization
Hermite-Hadamard integral inequality
differentiable function
H?lder integral inequality