Mathematics > Classical Analysis and ODEs
[Submitted on 19 Jul 2018 (v1), last revised 4 Sep 2018 (this version, v2)]
Title:Operator Popoviciu's inequality for superquadratic and convex functions of selfadjoint operators in Hilbert spaces
View PDFAbstract:In this work, operator version of Popoviciu's inequality for positive selfadjoint operators in Hilbert spaces under positive linear maps for superquadratic functions is proved. Analogously, using the same technique operator version of Popoviciu's inequality for convex functions is obtained. Some other related inequalities are also deduced.
Submission history
From: Mohammad Alomari Dr. [view email][v1] Thu, 19 Jul 2018 05:48:00 UTC (13 KB)
[v2] Tue, 4 Sep 2018 17:50:43 UTC (13 KB)
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