Some recent results about Jensen's operator inequality and its converses with application to operator means (CROSBI ID 559525)
Prilog sa skupa u zborniku | sažetak izlaganja sa skupa
Podaci o odgovornosti
Mićić, Jadranka
engleski
Some recent results about Jensen's operator inequality and its converses with application to operator means
The goal of this lecture is to present a generalization of Jensen's operator inequality and its converses for fields of positive linear mappings such that is not unital. First we give general formulations of Jensen's operator inequality and it's converses. As a consequence, difference and ratio type of converses of Jensen's operator inequality are obtained. In addition, we discuss the order among quasi-arithmetic means in a general setting. As an application we get some comparison theorems for power functions and power means. Also we give the chaotic order version of these results.
Jensen's inequality; converses of Jensen's inequality; Mond-Pecaric method; quasi-arithmetic mean; power mean
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Podaci o prilogu
15-15.
2010.
objavljeno
Podaci o matičnoj publikaciji
International Conference on Mathematical Inequalities and Applications 2010
Dr. A. D. R. Choudary
Lahore:
Podaci o skupu
International Conference on Mathematical Inequalities and Applications 2010 (MIA 2010)
ostalo
07.03.2010-13.03.2010
Lahore, Pakistan