The mapping vx,y in normed linear spaces with applications to inequalities in analysis

被引：2

作者：

Dragomir, SS

Koliha, JJ

机构：

[1] Univ Transkei, Dept Math, ZA-5100 Umtata, South Africa

[2] Univ Melbourne, Dept Math & Stat, Parkville, Vic 3052, Australia

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 1998年 / 2卷 / 01期

关键词：

lower and upper semi-inner products; normed spaces; inner product spaces; inequalities for sums and integrals in analysis;

D O I：

10.1155/S1025583498000022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we introduce the mapping v(x,y) connected with the lower and upper semi-inner products (.,.)(i) and (.,.)(s), and study its monotonicity, boundedness, convexity and other properties. Applications to theory of inequalities in analysis are given including refinements of the Schwarz inequality.

引用

页码：37 / 55

页数：19