Open AccessReverse and improved inequalities for operator monotone functions
Author(s) -
Sever S Dragomir
Publication year - 2020
Publication title -
annales universitatis mariae curie-skłodowska. sectio a, mathematica
Language(s) - English
Resource type - Journals
eISSN - 2083-7402
pISSN - 0365-1029
DOI - 10.17951/a.2020.74.2.19-29
Subject(s) - mathematics , monotone polygon , operator (biology) , pure mathematics , inequality , multiplication operator , hilbert space , algebra over a field , mathematical analysis , geometry , biochemistry , chemistry , repressor , transcription factor , gene
In this paper we provide several refinements and reverse operator inequalities for operator monotone functions in Hilbert spaces. We also obtain refinements and a reverse of Lowner-Heinz celebrated inequality that holds in the case of power function.