Volume 4,
Issue 5, 2003
Article
105
KANTOROVICH TYPE INEQUALITIES FOR $1
> p > 0$
MARIKO GIGA
DEPARTMENT OF MATHEMATICS
NIPPON MEDICAL SCHOOL
2-297-2 KOSUGI NAKAHARA-KU
KAWASAKI 211-0063 JAPAN.
E-Mail: mariko@nms.ac.jp
Received 24 May, 2003; Accepted 28 June, 2003.
Communicated by: T. Furuta
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ABSTRACT.
We shall discuss operator inequalities for 1 > p
> 0 associated with Hölder-McCarthy and Kantorovich inequalities.
Key words:
Kantorovich type inequality, Order preserving inequality, Concave
function.
2000 Mathematics Subject
Classification:
47A63.
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