Title of article :
On a q-analogue of the Hilbert’s type inequality
Author/Authors :
Zhang ، Zhengping - Chongqing University of Science and Technology , Xi ، Gaowen - Chongqing University of Science and Technology
Abstract :
In this paper, by introducing a parameter q and using the expression of the beta function establishing the inequality of the weight coefficient, we give a q-analogue of the Hilbert’s type inequality. As applications, a generalization of Hardy-Hilbert’s inequality are obtained.
Keywords :
q , Analogue , Hilbert’s type inequality , weight coefficient , H¨older inequality , generalization
Journal title :
Journal of Nonlinear Science and Applications
Journal title :
Journal of Nonlinear Science and Applications
