Browsing by Author "Teng Ching Chen"

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Lower Bounds of Inner Products
(交大學刊編輯委員會, 1974-03)
鄧清政
;
Teng Ching Chen
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 . The upper bound of this inner product is given by the famous Schwarz inequality which reads ||≦||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.