A reverse extended Hardy–Hilbert’s inequality with parameters

On a New Reverse Hilbert\'s Type Inequality

In this paper, by using the Euler-Maclaurin expansion for the Riemann-$zeta$ function, we establish an inequality of a weight coefficient. Using this inequality, we derive a new reverse Hilbert's type inequality. As an applications, an equivalent form is obtained.

An extended multidimensional Hardy-Hilbert-type inequality with a general homogeneous kernel

In this paper, by the use of the weight coefficients, the transfer formula and the technique of real analysis, an extended multidimensional Hardy-Hilbert-type inequality with a general homogeneous kernel and a best possible constant factor is given. Moreover, the equivalent forms, the operator expressions and a few examples are considered.

A Hilbert Integral-Type Inequality with Parameters

On a Multiple Hilbert’s Inequality with Parameters

Qiliang Huang Department of Mathematics, Guangdong Institute of Education, Guangzhou, Guangdong 510303, China Correspondence should be addressed to Qiliang Huang, [email protected] Received 12 May 2010; Accepted 31 August 2010 Academic Editor: Wing-Sum Cheung Copyright q 2010 Qiliang Huang. This is an open access article distributed under the Creative Commons Attribution License, which permits u...

A Reverse Hardy-hilbert-type Integral Inequality

By estimating a weight function, a reverse Hardy-Hilbert-type integral inequality with a best constant factor is obtained. As an application, some equivalent forms and some particular results have been established.