on a hardy-hilbert-type inequality with a general homogeneous kernel

On a Hardy-Hilbert-Type Inequality with a General Homogeneous Kernel

By the method of weight coefficients and techniques of real analysis, a Hardy-Hilbert-type inequality with a general homogeneous kernel and a best possible constant factor is given. The equivalent forms, the operator expressions with the norm, the reverses and some particular examples are also considered.

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 Hardy-Hilbert Type 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 decomposition of hardy--hilbert's type inequality

in this paper, two pairs of new inequalities are given, which decompose two hilbert-type inequalities.

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.