Operator inequalities associated with Hölder-McCarthy and Kantorovich inequalities
From MaRDI portal
Publication:1386695
DOI10.1155/S1025583498000083zbMath0910.47014OpenAlexW2062147229MaRDI QIDQ1386695
Publication date: 27 April 1999
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/119706
Kantorovich inequalityoperator inequalitiesHölder-McCarthy inequalityorder preserving power inequality
Related Items (56)
On the Lawson-Lim means and Karcher mean for positive invertible operators ⋮ Certain integral inequalities involving tensor products, positive linear maps, and operator means ⋮ On the Hermitian positive definite solutions of nonlinear matrix equation \(X^s + \sum_{i = 1}^m A_i^\ast X^{- t_i} A_i = Q\) ⋮ On an inversion-free algorithm for the nonlinear matrix problem Xα+A∗X−βA+B∗X−γB=I, ⋮ More about operator order preserving ⋮ Jensen-Mercer operator inequalities involving superquadratic functions ⋮ Unnamed Item ⋮ On the nonlinear matrix equation \(X+A*X - qA=Q\) \((q\geq 1)\) ⋮ Extensions of Hölder-McCarthy and Kantorovich inequalities and their applications ⋮ Iterative methods for the extremal positive definite solution of the matrix equation \(X+A^{*}X^{-\alpha}A=Q\) ⋮ New Kantorovich type inequalities for negative parameters ⋮ On the positive definite solution of a class of pair of nonlinear matrix equations ⋮ Log-convexity of generalized Kantorovich function ⋮ Recent developments of the operator Kantorovich inequality ⋮ Operator inequalities associated with the Kantorovich type inequalities for \(s\)-convex functions ⋮ On the Hermitian positive definite solutions of nonlinear matrix equation \(X^s + A^\ast X^{-t_1} A + B^\ast X^{-t_2} B = Q\) ⋮ A complementary result of Kantorovich type order preserving inequalities by Mićić-Pečarić-Seo ⋮ Hermitian Polynomial Matrix Equations and Applications ⋮ Some inequalities involving operator means and monotone convex functions ⋮ Solving system of nonlinear matrix equations over Hermitian positive definite matrices ⋮ Some properties of the nonlinear matrix equation \(X^s + A^* X^{-t} A = Q\) ⋮ Operator inequalities associated with \(A\log A\) via Specht ratio. ⋮ Kantorovich type operator inequalities via the Specht ratio. ⋮ New inequalities of the Kantorovich type for bounded linear operators in Hilbert spaces ⋮ On the existence of Hermitian positive definite solutions of the matrix equation \(X^s+A^*X^{-t}A=Q\) ⋮ A glimpse at the operator Kantorovich inequality ⋮ On positive definite solutions of the nonlinear matrix equations \(X \pm A^* X^q A = Q\) ⋮ Some inequalities of Hölder type for quadratic weighted geometric mean of bounded linear operators in Hilbert spaces ⋮ A complement of the Ando--Hiai inequality ⋮ On the Hermitian positive definite solution and Newton's method for a nonlinear matrix equation ⋮ Some complementary inequalities to Jensen's operator inequality ⋮ Positive definite solutions of the matrix equations \(X\pm A^{\ast}X^{-q} A=Q\) ⋮ Some functions reversing the order of positive operators ⋮ On the Hermitian positive definite solutions of nonlinear matrix equation \(X^s + A^*X^{-t}A = Q\) ⋮ On equations that are equivalent to the nonlinear matrix equation \(X+A^{*}X ^{-\alpha}A=Q\) ⋮ On positive definite solutions of the family of matrix equations \(X+A^*X^{-n}A=Q\). ⋮ The investigation on two kinds of nonlinear matrix equations ⋮ Necessary and sufficient conditions for the existence of a positive definite solution of a nonlinear matrix equation ⋮ Generalized Bebiano-Lemos-Providência inequalities and their reverses ⋮ Reverse inequality to Golden-Thompson type inequalities: Comparison of \(\text e^{A+B}\) and \(\text e^{A}\text e^{B}\) ⋮ Squaring operator Pólya-Szegő and Diaz-Metcalf type inequalities ⋮ Generalizations of reverse Bebiano-Lemos-Providência inequality ⋮ Some remarks on Tsallis relative operator entropy ⋮ Some inequalities involving Berezin symbols of operator means and related questions ⋮ Solvability and sensitivity analysis of polynomial matrix equation \(X^s + A^TX^tA = Q\) ⋮ On Hermitian positive definite solutions of a nonlinear matrix equation ⋮ Solution of a class of nonlinear matrix equations ⋮ Latest inversion-free iterative scheme for solving a pair of nonlinear matrix equations ⋮ Matrix Hölder-McCarthy inequality via matrix geometric means ⋮ Solvability theory and iteration method for one self-adjoint polynomial matrix equation ⋮ VARIANTS OF ANDO–HIAI TYPE INEQUALITIES FOR DEFORMED MEANS AND APPLICATIONS ⋮ Complementary inequalities to inequalities of Jensen and Ando based on the Mond-Pečarić method ⋮ REFINEMENTS AND REVERSES OF HÖLDER-MCCARTHY OPERATOR INEQUALITY VIA A CARTWRIGHT-FIELD RESULT ⋮ Function order of positive operators based on the Mond-Pečarić method ⋮ Ky Fan inequalities ⋮ Characterizations of \(\log A\geq\log B\) and normaloid operators via Heinz inequality
This page was built for publication: Operator inequalities associated with Hölder-McCarthy and Kantorovich inequalities