篇名 | On an Inequality Concerning a Non-homogeneous Kernel and the Hypergeometric Function |
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卷期 | 27:1 |
作者 | Bing He 、 Bicheng Yang |
頁次 | 075-088 |
關鍵字 | Hilbert's integral inequality 、 Weight function 、 Holder's inequality 、 Hypergeometric Function |
出刊日期 | 201102 |
By introducing a non-homogeneous kernel of 0-degree with an in-dependent parameter and estimating the weight function through the real function techniques, a new integral inequality with a best constant factor is established, where the best constant factor is made of both the beta function and the hypergeometric function. In addition, the reverse inequality and their corresponding equivalent forms are given.