A Multiple Hardy-Littlewood-Polya Inequality

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By introducing the norm and two parameters, we give a multiple Hardy-Littlewood-Polya inequality with a best possible constant factor.

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1906-1909

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August 2013

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© 2013 Trans Tech Publications Ltd. All Rights Reserved

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[1] M. Gao, B. Yang, Proceeding of the American Mathematical Society, vol. 126, no. 3, 751-759, (1998).

Google Scholar

[2] G. H. Hardy, J. E. Littlewood and G. Pólya, Inequalities, Gambridge University Press, Gambridge, (1952).

Google Scholar

[3] Y. Hong, Acta Mathematics Sinica, vol. 44, no. 4, 619-626, 2001. (in chinese).

Google Scholar

[4] Y. Hong, Journal of Inequalities in Pure and Applied Mathematics, vol. 7, no. 4, article 139, (2006).

Google Scholar

[5] L. Hua, An Introduction to advanced mathematics ( Remaining sections), Science publishers, Beijing, (1984).

Google Scholar

[6] J. Kuang, L. Debnath, Journal of Mathematical Analysis and Applications, vol. 245, no. 1, 248-265, (2000).

Google Scholar

[7] J. Kuang, Applied Inequalities, Shandong Science and Technology Press, Jinan, (2004).

Google Scholar

[8] D. S. Mitrinovi, J. E. Pecaric and A. M. Fink, Inequalities Involving Functions and Their Integrals and Derivatives, Kluwer Academic Publishers, Boston, (1991).

Google Scholar

[9] B. G Pachpatte, Journal of Mathematical Analysis and Applications, vol. 226, no. 1, 166-179, (1998).

Google Scholar

[10] B. Sun, Journal of inequalities and Applications, vol. 2007, Article ID 71049.

Google Scholar