Some Integral Inequalities of Hermite-Hadamard Type for Convex Functions with Applications to Means-Reference-Cited by-同舟云学术

Some Integral Inequalities of Hermite-Hadamard Type for Convex Functions with Applications to Means

Published:2012 Issue: Volume:2012 Page:1-14
ISSN:0972-6802
Container-title:Journal of Function Spaces and Applications
language:en
Short-container-title:Journal of Function Spaces and Applications

Author:

Xi Bo-Yan¹,Qi Feng²³

Affiliation:

1. College of Mathematics, Inner Mongolia University for Nationalities, Tongliao City 028043, China

2. School of Mathematics and Informatics, Henan Polytechnic University, Henan Province, Jiaozuo City 454010, China

3. Department of Mathematics, College of Science, Tianjin Polytechnic University, Tianjin City 300387, China

Abstract

The authors establish some new inequalities for differentiable convex functions, which are similar to the celebrated Hermite-Hadamard's integral inequality for convex functions, and apply these inequalities to construct inequalities for special means of two positive numbers.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2012/980438.pdf

Reference9 articles.

1. Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula

2. Inequalities for differentiable mappings with application to special means and quadrature formulæ

3. Inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula