eng
Science and Education Publishing
Turkish Journal of Analysis and Number Theory
2333-1232
2016-10-17
4
5
132
134
10.12691/tjant-4-5-2
TJANT2016452
article
Some Integral Inequalities of the Hermite-Hadamard Type for Strongly Quasi-convex Functions
Yi-Xuan Sun
1
Jing-Yu Wang
1
Bai-Ni Guo
bai.ni.guo@gmail.com, bai.ni.guo@hotmail.com
2
College of Mathematics, Inner Mongolia University for Nationalities, Tongliao, Inner Mongolia Autonomous Region, China
School of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo City, Henan Province, China
In the paper, the authors introduce a new notion 'strongly quasi-convex function', establish an integral identity for strongly quasi-convex functions, and establish some new integral inequalities of the Hermite-Hadamard type for strongly quasi-convex functions.
http://pubs.sciepub.com/tjant/4/5/2/tjant-4-5-2.pdf
integral identity
integral inequality
Hermite-Hadamard type
strongly quasi-convex function
H?lder inequality