標題: Lower Bounds of Inner Products
作者: 鄧清政
Teng Ching Chen
公開日期: 三月-1974
出版社: 交大學刊編輯委員會
摘要: In this paper, we shall discuss the lower bounds for real positive difinite inner products in vector spaces V or R. The inner product of two vectors v and w in Vis denoted by <v,w>. The upper bound of this inner product is given by the famous Schwarz inequality which reads |<v,w>|≦||v|| ||w|| for all v, w in V. Here, we intend to reverse the Schwarz inequality. Consequently,we have a lower bound of this inner product which gives a useful application to the approximation of the evaluation of integrations.
URI: http://hdl.handle.net/11536/137394
期刊: 交大學刊
SCIENCE BULLETIN NATIONAL CHIAO-TUNG UNIVERSITY
Volume: 7
Issue: 1
起始頁: 138
結束頁: 140
顯示於類別:交大學刊


文件中的檔案:

  1. HT001305-16.pdf