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On a Reverse of the Slightly Sharper Hilbert-type Inequality

• Journal title : Kyungpook mathematical journal
• Volume 49, Issue 4,  2009, pp.731-742
• Publisher : Department of Mathematics, Kyungpook National University
• DOI : 10.5666/KMJ.2009.49.4.731
Title & Authors
On a Reverse of the Slightly Sharper Hilbert-type Inequality
Zhong, Jianhua;

Abstract
In this paper, by introducing parameters $\small{{\lambda}}$, $\small{{\alpha}}$and two pairs of conjugate exponents (p, q), (r, s) and applying the improved Euler-Maclaurin's summation formula, we establish a reverse of the slightly sharper Hilbert-type inequality. As applications, the strengthened version and the equivalent form are given.
Keywords
Hilbert-type inequality;weight coefficient;conjugate exponent;Euler-Maclaurin's summation formula;H$\small{\"{o}}$older's inequality;
Language
English
Cited by
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