Geodesic
On a $q$-analogue of the Hilbert's type inequality :
Zhang, Zhengping 1   ; Xi, Gaowen 1
1 College of Mathematics and Physics, Chongqing University of Science and Technology, Chongqing, 401331, P. R. China
Journal of nonlinear sciences and its applications, Tome 11 (2018) no. 11, p. 1243-1249 Cet article a éte moissonné depuis la source International Scientific Research Publications

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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.

DOI : 10.22436/jnsa.011.11.04
Classification : 05A30, 26D15
Keywords: \(q\)-Analogue, Hilbert's type inequality, weight coefficient, Holder inequality, generalization

Zhang, Zhengping   1   ; Xi, Gaowen   1

1 College of Mathematics and Physics, Chongqing University of Science and Technology, Chongqing, 401331, P. R. China 
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Zhang, Zhengping ; Xi, Gaowen . On a \(q\)-analogue of the Hilbert's type inequality. Journal of nonlinear sciences and its applications, Tome 11 (2018) no. 11, p. 1243-1249. doi: 10.22436/jnsa.011.11.04

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