Rozarija JAKŠİĆ, Mario KRNİĆ, Josip PEČARİĆ

107115

On some new converses of the Jensen and the Lah-Ribarič operator inequality

In this paper we study some new converses of the Jensen and the LahRibarič operator inequality regarding convex functions. First we give two series of converses in a general setting. The general results are then applied to quasi-arithmetic operator means with a particular emphasis to power operator means. The obtained results are also compared with some related results, known from the literature.

Keywords:

Jensen operator inequality, Lah-Ribarič operator inequality con- vexity, operator convexity, converse,

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Hacettepe Journal of Mathematics and Statistics-Cover

Yayın Aralığı: 6
Başlangıç: 2002
Yayıncı: Hacettepe Üniversitesi Fen Fakultesi

Arşiv

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