On a Generalization of an Inequality of L. V. Kantorovich
From MaRDI portal
Publication:3269427
DOI10.2307/2032857zbMath0093.12405OpenAlexW4238444416WikidataQ62721388 ScholiaQ62721388MaRDI QIDQ3269427
Werner C. Rheinboldt, Werner H. Greub
Publication date: 1959
Full work available at URL: https://doi.org/10.2307/2032857
Related Items
WHITE DWARFS AS LABORATORIES ⋮ Certain integral inequalities involving tensor products, positive linear maps, and operator means ⋮ Cascadic multilevel algorithms for symmetric saddle point systems ⋮ A new approach for solving the three-dimensional steady Euler equations. I. General theory ⋮ CERTAIN NEW WEIGHTED YOUNG- AND PÓLYA–SZEGÖ-TYPE INEQUALITIES FOR UNIFIED FRACTIONAL INTEGRAL OPERATORS VIA AN EXTENDED GENERALIZED MITTAG-LEFFLER FUNCTION WITH APPLICATIONS ⋮ An extension of the operator Kantorovich inequality ⋮ Trace inequalities for positive operators via recent refinements and reverses of Young's inequality ⋮ Inequalities related to the Cauchy-Schwarz inequality ⋮ Reverses of the Cauchy–Bunyakovsky–Schwarz inequality for n-tuples of complex numbers ⋮ Some comments on six inequalities associated with the inefficiency of ordinary least squares with one regressor ⋮ Trace inequalities of Cassels and Grüss type for operators in Hilbert spaces ⋮ Some further matrix extensions of the Cauchy-Schwarz and Kantorovich inequalities, with some statistical applications ⋮ Stronger forms of a class of inequalities of G. Pólya-G. Szegö, and L. V. Kantorovich ⋮ Trace inequalities of Shisha-Mond type for operators in Hilbert spaces ⋮ Log-convexity of generalized Kantorovich function ⋮ Recent developments of the operator Kantorovich inequality ⋮ A surrogate hyperplane Kaczmarz method for solving consistent linear equations ⋮ A general double inequality related to operator means and positive linear maps ⋮ Some extensions of the Kantorovich inequality and statistical applications ⋮ Unnamed Item ⋮ An improved Greub-Rheinboldt inequality ⋮ On generalizations of an inequality due to Pólya and Szegő ⋮ A remark on a paper of Greub and Rheinboldt ⋮ New inequalities of the Kantorovich type for bounded linear operators in Hilbert spaces ⋮ Diaz-Metcalf and Pólya-Szegő type inequalities associated with Saigo fractional integral operator ⋮ A reverse inequality for the weighted geometric mean due to Lawson--Lim ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Some bounds for integrals with refinements of the Grüss inequality ⋮ Interaction antieigenvalues ⋮ Convexity conditions of Kantorovich function and related semi-infinite linear matrix inequalities ⋮ Über komplementäre Ungleichungen mit drei Mittelwerten. I ⋮ An extension of Kantorovich inequality to \(n\)-operators via the geometric mean by Ando--Li--Mathias ⋮ A study of Auchmuty's error estimate ⋮ On the product of convex combinations and the Kantorovich inequality ⋮ Reserval of the Lyapunov, Hölder, and Minkowski inequalities and other extensions of the Kantorovich inequality ⋮ On reverse Schwarz, Bessel, Grüss and Hadamard inequalities in inner product spaces ⋮ Operator versions of the Kantorovich inequality ⋮ Komplementäre Ungleichungen bei vergleichbaren Mittelwerten ⋮ Reverses of the Schwarz inequality generalising a Klamkin–McLenaghan result ⋮ On Cauchy-Schwarz inequality for \(N\)-tuple diamond-alpha integral ⋮ Several matrix Euclidean norm inequalities involving Kantorovich inequality ⋮ On the Kantorovich inequality ⋮ On the Kantorovich Inequality ⋮ Equality conditions of reverse Schwarz and Grüss inequalities in inner productspaces ⋮ Matrix Hölder-McCarthy inequality via matrix geometric means ⋮ Complementary inequalities. I: Inequalities complementary to Cauchy's inequality for sums of real numbers. II: Inequalities complementary to the Buniakowsky-Schwarz inequality for integrals. III: Inequalities complementary to Schwarz's inequality in Hilbert space ⋮ Kantorovich-type inequalities for operators via \(D\)-optimal design theory ⋮ Direct and Iterative Methods for the Solution of Linear Operator Equations in Hilbert Space ⋮ A converse to the Jensen inequality, its matrix extensions and inequalities for minors and eigenvalues ⋮ Generalizations of two inequalities involving Hermitian forms ⋮ Weighted inverse Hölder inequalities
Cites Work