On a \(q\)-analogue of the Hilbert's type inequality
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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
Keywords
- \(q\)-Analogue
- Hilbert's type inequality
- weight coefficient
- Holder inequality
- generalization
MSC
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