Copyright © 2014 Qiliang Huang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. By the use of the way of real analysis, we estimate the weight functions and give some new Hilbert-type integral inequalities in the whole plane with nonhomogeneous kernels and multiparameters. The constant factors related to the hypergeometric function and the beta function are proved to be the best possible. We also consider the equivalent forms, the reverses, and some particular cases in the homogeneous kernels
Abstract By the use of weight coefficients and technique of real analysis, a discrete Hilbert-type i...
By the use of weight coefficients and Hermite-Hadamard's inequality, a new extension of Hardy-H...
We give a new Hilbert-type integral inequality with the best constant factor by estimating the weigh...
By applying the way of real and complex analysis and estimating the weight functions, we build a ne...
By using the way of weight functions and the technique of real analysis, a new Hilbert-type integral...
By means of the technique of real analysis and the weight functions, a few equivalent statements of ...
In this paper, by introducing some parameters and estimating the weight coefficient, we give a new H...
Abstract By introducing independent parameters and interval variables, applying the weight functions...
AbstractIn this paper, by estimating the weight function, we give a new Hilbert-type integral inequa...
Abstract By using real analysis and weight functions, we obtain a few equivalent statements of a Hil...
This paper deals with recent developments of Hilbert-type discrete and integral inequalities by intr...
By the use of weight functions and technique of real analysis, a new half-discrete Hilbert-type ineq...
This book is aimed toward graduate students and researchers in mathematics, physics and engineering ...
By the use of weight coefficients and Hermite-Hadamard’s inequality, a new extension of Hardy-Hilber...
Hilbert-type integral inequalities, including the well known Hilbert's integral inequality published...
Abstract By the use of weight coefficients and technique of real analysis, a discrete Hilbert-type i...
By the use of weight coefficients and Hermite-Hadamard's inequality, a new extension of Hardy-H...
We give a new Hilbert-type integral inequality with the best constant factor by estimating the weigh...
By applying the way of real and complex analysis and estimating the weight functions, we build a ne...
By using the way of weight functions and the technique of real analysis, a new Hilbert-type integral...
By means of the technique of real analysis and the weight functions, a few equivalent statements of ...
In this paper, by introducing some parameters and estimating the weight coefficient, we give a new H...
Abstract By introducing independent parameters and interval variables, applying the weight functions...
AbstractIn this paper, by estimating the weight function, we give a new Hilbert-type integral inequa...
Abstract By using real analysis and weight functions, we obtain a few equivalent statements of a Hil...
This paper deals with recent developments of Hilbert-type discrete and integral inequalities by intr...
By the use of weight functions and technique of real analysis, a new half-discrete Hilbert-type ineq...
This book is aimed toward graduate students and researchers in mathematics, physics and engineering ...
By the use of weight coefficients and Hermite-Hadamard’s inequality, a new extension of Hardy-Hilber...
Hilbert-type integral inequalities, including the well known Hilbert's integral inequality published...
Abstract By the use of weight coefficients and technique of real analysis, a discrete Hilbert-type i...
By the use of weight coefficients and Hermite-Hadamard's inequality, a new extension of Hardy-H...
We give a new Hilbert-type integral inequality with the best constant factor by estimating the weigh...