Function order of positive operators based on the Mond-Pečarić method
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Publication:1863519
DOI10.1016/S0024-3795(02)00441-XzbMath1030.47013MaRDI QIDQ1863519
Yuki Seo, Jadranka Mićić, Josip E. Pečarić
Publication date: 11 March 2003
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Related Items (8)
On subadditivity and superadditivity of functions on positive operators ⋮ More about operator order preserving ⋮ Jensen-Mercer operator inequalities involving superquadratic functions ⋮ New Kantorovich type inequalities for negative parameters ⋮ Operator inequalities associated with the Kantorovich type inequalities for \(s\)-convex functions ⋮ Some inequalities involving operator means and monotone convex functions ⋮ Some functions reversing the order of positive operators ⋮ Reverse Jensen-Mercer Type Operator Inequalities
Cites Work
- An elementary proof of an order preserving inequality
- Furuta's inequality and its application to Ando's theorem
- Operator inequalities associated with Hölder-McCarthy and Kantorovich inequalities
- Some matrix inequalities
- Inequalities of Furuta and Mond-Pečarić
- Some applications of Tanahashi's result on the best possibility of Furuta inequality
- Results under log A ≥ log B can be derived from ones under A ≥ B ≥ 0 by Uchiyama's method - associated with Furuta and Kantorovich type operator inequalities
- Best possibility of the Furuta inequality
- An extension of Specht's theorem via Kantorovich inequality and related results
- $A \geq B \geq 0$ Assures $(B^r A^p B^r)^{1/q} \geq B^{(p+2r)/q$ for $r \geq 0$, $p \geq 0$, $q \geq 1$ with $(1 + 2r)q \geq p + 2r$
- On some operator inequalities
- A characterization of operator order via grand Furuta inequality
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