TY - JOUR AU - Zhang, Zhengping AU - Xi, Gaowen PY - 2018 TI - On a \(q\)-analogue of the Hilbert's type inequality JO - Journal of Nonlinear Sciences and Applications SP - 1243--1249 VL - 11 IS - 11 AB - 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. SN - ISSN 2008-1901 UR - http://dx.doi.org/10.22436/jnsa.011.11.04 DO - 10.22436/jnsa.011.11.04 ID - Zhang2018 ER -