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Function order of positive operators based on the Mond–Pečarić method by Jadranka Mićić; Josip Pečarić; Yuki Seo is a Mathematics article available to read on EtoBox.
What is Function order of positive operators based on the Mond–Pečarić method about?
We shall show function order preserving operator inequalities under general setting, based on Kantorovich type inequalities for convex functions due to Mond-Pečarić: Let A and B be positive operators on a Hilbert space H satisfying MI B mI > 0. Let f (t) be a con- , As applications, we shall extend Kantorovich type operator inequalities by Furuta, Yamazaki and Yanagida, and present operator inequalities on the usual order and the chaotic order via Ky Fan-Furuta constant. Among others, we show the following inequality: If A B > 0 and MI B mI > 0, then M p-1 m q-1 A q (q -1) q-1 q q (M pm p ) q (Mm)(mM p -Mm p ) q-1 A q B p holds for all p > 1 and q > 1 such that qm p-1 M pm p Mm qM p-1 .
Who reads Function order of positive operators based on the Mond–Pečarić method?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Jadranka Mićić; Josip Pečarić; Yuki Seo
- Publisher
- Elsevier Science; Elsevier ; Elsevier BV (ISSN 0024-3795)
- Published
- 2003
- Language
- EN
- Field
- Mathematics (Physical Sciences)