Improved Jensen-type inequalities for operators and matrices based on linear interpolation (CROSBI ID 710788)
Prilog sa skupa u zborniku | prošireni sažetak izlaganja sa skupa | međunarodna recenzija
Podaci o odgovornosti
Choi, Daeshik ; Krnić, Mario ; Pečarić, Josip
engleski
Improved Jensen-type inequalities for operators and matrices based on linear interpolation
Motivated by a recent refinement of the scalar Jensen inequality obtained via linear interpolation, in this talk we develop a general method for improving two classes of Jensen-type inequalities for bounded self-adjoint operators. The first class refers to a usual convexity, while the second one deals with the operator convexity. The general results are then applied to quasi-arithmetic and power operator means. As a consequence, we obtain strengthened forms of the inequalities between arithmetic, geometric and harmonic operator means. We also obtain more accurate Young-type inequalities for unitarily invariant norms as well as more precise relations for some important jointly concave mappings.
Jensen inequality, linear interpolation, improvement, operator inequality, matrix inequality
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Podaci o prilogu
8-8.
2018.
objavljeno
Podaci o matičnoj publikaciji
Podaci o skupu
Mathematical Inequalities and Applications 2018 (MIA 2018), Conference in honor of Academician Josip Pečarić on the ocasion of his 70th birthday
ostalo
04.07.2018-08.07.2018
Zagreb, Hrvatska