A refined discrete Hilbert inequality obtained via the Hermite-Hadamard inequality

被引：15
|
作者：
Krnic, Mario [1 ]
机构：
[1] Fac Elect Engn & Comp, Zagreb 10000, Croatia
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2012年 / 63卷 / 12期
关键词：
Hilbert inequality; Hermite-Hadamard inequality; Convexity; Beta function; The incomplete Beta function;
D O I：
10.1016/j.camwa.2012.03.014
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we establish a general method for improving the discrete Hilbert-type inequalities via the Hermite-Hadamard inequality. The general result is then applied to homogeneous kernels. Moreover, some particular homogeneous kernels are considered, and a whole series of refinements of some recent results known from the literature are yielded. In addition some particular non-homogeneous cases are also considered. (C) 2012 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1587 / 1596
页数：10
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