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Sharp Integral Inequalities Involving High-Order Partial Derivatives


The main purpose of the present paper is to establish some new sharp integral inequalities involving higher-order partial derivatives. Our results in special cases yield some of the recent results on Agarwal, Wirtinger, Poincaré, Pachpatte, Smith, and Stredulinsky's inequalities and provide some new estimates on such types of inequalities.

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Correspondence to C.-J Zhao.

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Zhao, CJ., Cheung, WS. Sharp Integral Inequalities Involving High-Order Partial Derivatives. J Inequal Appl 2008, 571417 (2008).

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  • Partial Derivative
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  • Integral Inequality
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