An equivalence form of the Brunn-Minkowski inequality for volume differences

In this paper, we establish an equivalence form of the Brunn-Minkowski inequality for volume differences. As an application, we obtain a general and strengthened form of the dual Kneser-Süss inequality. © 2007 The Korean Mathematical Society.published_or_final_versio

On Opial's Type Inequalities for An Integral Operator with Homogeneous Kernel

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On Hardy-Pachpatte-Copson's Inequalities

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On opial-type integral inequalities

We establish some new Opial-type inequalities involving functions of two and many independent variables. Our results in special cases yield some of the recent results on Opial's inequality and also provide new estimates on inequalities of this type.published_or_final_versio

On some opial-type inequalities

In the present paper we establish some new Opial-type inequalities involving higher-order partial derivatives. Our results in special cases yield some of the recent results on Opial's inequality and also provide new estimates on inequalities of this type.published_or_final_versio

On Hilbert Type Inequalities

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On Minkowski's inequality and its application

In the paper, we first give an improvement of Minkowski integral inequality. As an application, we get new Brunn-Minkowski-type inequalities for dual mixed volumes.published_or_final_versio

On the Quermassintegrals of Convex Bodies

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Reverse Beckenbach-Dresher’s Inequality

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On Lyapunov-type inequalities for two-dimensional nonlinear partial systems

We establish a new Laypunov-type inequality for two nonlinear systems of partial differential equations and the discrete analogue is also established. As application, boundness of the two-dimensional Emden-Fowler-type equation is proved. Copyright © 2010 Lian-Ying Chen et al.published_or_final_versio