Title of article
The Hasegawa–Petz mean: Properties and inequalities
Author/Authors
Besenyei، نويسنده , , ءdلm، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2012
Pages
10
From page
441
To page
450
Abstract
We study a family of means introduced by H. Hasegawa and D. Petz (1996) [13]. Properties with respect to the parameter, such as monotonicity and logarithmic concavity, further, monotonicity and concavity in the mean variables are shown. Besides, the comparison between the Hasegawa–Petz mean and the geometric mean is completely solved. The connection to earlier results on operator monotonicity and some applications are also discussed.
Keywords
Concavity , Hasegawa–Petz mean , comparison , Operator monotone function , Monotonicity , Stolarsky mean
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2012
Journal title
Journal of Mathematical Analysis and Applications
Record number
1562787
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