Some Inequalities for Elementary Mean Values
نویسندگان
چکیده
منابع مشابه
Some weighted operator geometric mean inequalities
In this paper, using the extended Holder- -McCarthy inequality, several inequalities involving the α-weighted geometric mean (0<α<1) of two positive operators are established. In particular, it is proved that if A,B,X,Y∈B(H) such that A and B are two positive invertible operators, then for all r ≥1, ‖X^* (A⋕_α B)Y‖^r≤‖〖(X〗^* AX)^r ‖^((1-α)/2) ‖〖(Y〗^* AY)^r ‖^((1-α)/2) ‖〖(X〗^* BX)^r ‖^(α/2) ‖〖(Y...
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Slavko Simic Mathematical Institute SANU, Kneza Mihaila 36, 11000 Belgrade, Serbia Correspondence should be addressed to Slavko Simic; [email protected] Received 25 June 2012; Revised 9 December 2012; Accepted 16 December 2012 Academic Editor: Mowaffaq Hajja Copyright © 2013 Slavko Simic.This is an open access article distributed under the Creative Commons Attribution License, which p...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1984
ISSN: 0025-5718
DOI: 10.2307/2007569