On a reverse Mulholland-type inequality in the whole plane with 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.

Amore accurate Mulholland-type inequality in the whole plane

*Correspondence: [email protected] 1Guangxi Colleges and Universities Key Laboratory of Intelligent Processing of Computer Image and Graphics, Guilin University of Electronic Technology, Guilin, Guangxi 541004, China Full list of author information is available at the end of the article Abstract By introducing independent parameters, applying the weight coefficients, and Hermite-Hadamard’s in...

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-Type Integral Inequality in the Whole Plane with the Homogeneous Kernel of Degree -2

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

by the method of weight coefficients and techniques of real analysis, ahardy-hilbert-type inequality with a general homogeneous kernel and a bestpossible constant factor is given. the equivalent forms, the operatorexpressions with the norm, the reverses and some particular examples are alsoconsidered.