A variation-of-parameters inequality

A companion of Ostrowski's inequality for functions of bounded variation and applications

A companion of Ostrowski's inequality for functions of bounded variation and applications are given.

A Hilbert Integral-Type Inequality with Parameters

On a Multiple Hilbert’s Inequality with Parameters

Qiliang Huang Department of Mathematics, Guangdong Institute of Education, Guangzhou, Guangdong 510303, China Correspondence should be addressed to Qiliang Huang, [email protected] Received 12 May 2010; Accepted 31 August 2010 Academic Editor: Wing-Sum Cheung Copyright q 2010 Qiliang Huang. This is an open access article distributed under the Creative Commons Attribution License, which permits u...

On the generalization of Trapezoid Inequality for functions of two variables with bounded variation and applications

In this paper, a generalization of trapezoid inequality for functions of two independent variables with bounded variation and some applications are given.

Jensen's inequality predicts effects of environmental variation.

Many biologists now recognize that environmental variance can exert important effects on patterns and processes in nature that are independent of average conditions. Jensen's inequality is a mathematical proof that is seldom mentioned in the ecological literature but which provides a powerful tool for predicting some direct effects of environmental variance in biological systems. Qualitative pr...