On a New Hilbert-Hardy-Type Integral Operator and Applications

On a Multiple Hilbert-Type Integral Operator and Applications

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.

A Note on Hardy-Hilbert Type Integral Inequality

In this paper it is shown that a new Hardy-Hilbert type integral inequality can be established by introducing a proper integral kernel function, and that the constant factor is proved to be the best possible. In particular, for case p = 2, a new Hilbert type integral inequality is given .And as the mathematics aesthetics, several important constants π and Euler number En appear simultaneously i...

On a New Strengthened Version of a Hardy-hilbert Type Inequality and Applications

By improving an inequality of the weight coefficient, we give a new strengthened version of Hardy-Hilbert’s type inequality. As its applications, we build some strengthened versions of the equivalent form and some particular results.

On Hilbert-type Integral Operator Inequality and Application

In the paper, by using the way of weight functions and the theory of operators, a Hilbert-type integral operator with the homogeneous kernel of −λ-degree and its norm are considered. As for applications, two equivalent inequalities with the best constant factors and some particular norms are obtained.