On a Strengthened Hardy-Littlewood-Polya Inequality

Author:

Sun Bao Ju1

Affiliation:

1. Zhejiang Water Conservancy and Hydropower University

Abstract

In this paper, by using the improved Euler-Maclaurin’s summation formula and estimating the weight coefficient, a strengthened Hardy-Littlewood-Polya inequality is established.

Publisher

Trans Tech Publications, Ltd.

Subject

General Engineering

Reference14 articles.

1. G. H. Hardy, J. E. Littlewood and G. Pólya, Inequalities, Gambridge University Press, Gambridge, UK, 2 nd edition, (1952).

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

3. M. -Z. Gao and B. -C Yang, On the extended Hilbert's inequality, Proceeding of the American Mathematical Society, 126(3)(1998), no. 3, 751-759.

4. B. -C Yang and M. -Z. Gao, On a Best value of Hardy Hilbert's inequality, Adv. Math., 26(2), (1997), 156-164. (Chinese).

5. Q. -L. Huang, A strengthened Hilbert-type inequality, Journal of Guangdong Education Institute (Science Edition), 26(3)(2006), 15-18. (Chinese).

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