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| REFINEMENTS OF THE FAN-TODD'S INEQUALITIES |
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Citation： |
K. K. CHONG.REFINEMENTS OF THE FAN-TODD'S INEQUALITIES[J].Chinese Annals of Mathematics B,2002,23(1):75~84 |
| Page view： 1445
Net amount： 927 |
Authors： |
K. K. CHONG; |
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| Abstract： |
Refinements to inequalities on inner product spaces are presented. In this respect, inequalities dealt with in this paper are: Cauchy's inequality, Bessel's inequality, Fan-Todd's inequality and Fan-Todd's determinantal inequality. In each case, a strictly increasing function is put forward, which lies between the smaller and the larger quantities of each inequality. As a result, an improved condition for equality of the Fan-Todd's determinantal inequality is deduced. |
Keywords： |
Cauchy's inequality, Bessel's inequality, Fan-Todd's inequality, Fan-Todd's determinantal inequality, Refinements of inequalities |
Classification： |
Primary 26D15 |
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