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

页码：1587 / 1596

页数：10

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