On a \(q\)-analogue of the Hilbert's type inequality

Volume 11, Issue 11, pp 1243--1249 http://dx.doi.org/10.22436/jnsa.011.11.04
Publication Date: August 27, 2018 Submission Date: August 26, 2017 Revision Date: July 23, 2018 Accteptance Date: July 26, 2018

Authors

Zhengping Zhang - College of Mathematics and Physics, Chongqing University of Science and Technology, Chongqing, 401331, P. R. China. Gaowen Xi - College of Mathematics and Physics, Chongqing University of Science and Technology, Chongqing, 401331, P. R. China.


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.


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ISRP Style

Zhengping Zhang, Gaowen Xi, On a \(q\)-analogue of the Hilbert's type inequality, Journal of Nonlinear Sciences and Applications, 11 (2018), no. 11, 1243--1249

AMA Style

Zhang Zhengping, Xi Gaowen, On a \(q\)-analogue of the Hilbert's type inequality. J. Nonlinear Sci. Appl. (2018); 11(11):1243--1249

Chicago/Turabian Style

Zhang, Zhengping, Xi, Gaowen. "On a \(q\)-analogue of the Hilbert's type inequality." Journal of Nonlinear Sciences and Applications, 11, no. 11 (2018): 1243--1249


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