A Strengthened Carleman's Inequality

On a strengthened Hardy-Hilbert type inequality

*Correspondence: [email protected] 2Department of Construction and Information Engineering, Guangxi Modern Vocational Technology College, Hechi, Guangxi 547000, China Full list of author information is available at the end of the article Abstract We derive a strengthenment of a Hardy-Hilbert type inequality by using the Euler-Maclaurin expansion for the zeta function and estimating the weight...

On a strengthened version of Hardy’s inequality

On the basis of analytic method and skill, a strengthened version of well-known Hardy's inequality is obtained. In comparison with some similar results given in recent decades, it successfully reduced the related coefficient.

On a strengthened Hardy-Hilbert’s type inequality

In this paper, by using the Euler-Maclaurin expansion for the zeta function and estimating the weight function effectively, we derive a strengthenment of a Hardy-Hilbert’s type inequality proved by W.Y. Zhong. As applications, some particular results are considered.

On the Strengthened Jordan’s Inequality

Research Article New Strengthened Carleman's Inequality and Hardy's Inequality