Results 1 to 10 of about 122 (112)
Several Matrix Euclidean Norm Inequalities Involving Kantorovich Inequality
Journal of Inequalities and Applications, 2009 Kantorovich inequality is a very useful tool to study the inefficiency of the ordinary least-squares estimate with one regressor. When regressors are more than one statisticians have to extend it.
Wang Litong, Yang Hu
doaj +4 more sources
Refinements of Kantorovich Inequality for Hermitian Matrices [PDF]
Journal of Applied Mathematics, 2012 Some new Kantorovich-type inequalities for Hermitian matrix are proposed in this paper. We consider what happens to these inequalities when the positive definite matrix is allowed to be invertible and provides refinements of the classical results.
Feixiang Chen
doaj +4 more sources
A Note on Kantorovich Inequality for Hermite Matrices [PDF]
Journal of Inequalities and Applications, 2011 A new Kantorovich type inequality for Hermite matrices is proposed in this paper. It holds for the invertible Hermite matrices and provides refinements of the classical results. Elementary methods suffice to prove the inequality.
Wang Kanmin, Xu Chengfeng, Liu Zhibing
doaj +4 more sources
Sobolev-Kantorovich Inequalities
Analysis and Geometry in Metric Spaces, 2015 In a recent work, E. Cinti and F. Otto established some new interpolation inequalities in the study of pattern formation, bounding the Lr(μ)-norm of a probability density with respect to the reference measure μ by its Sobolev norm and the Kantorovich ...
Ledoux Michel
doaj +2 more sources
New Refinement of the Operator Kantorovich Inequality [PDF]
Mathematics, 2019 We focus on the improvement of operator Kantorovich type inequalities. Among the consequences, we improve the main result of the paper [H.R. Moradi, I.H. Gümüş, Z.
Hamid Reza Moradi +2 more
doaj +2 more sources
On the Kantorovich Inequality [PDF]
Proceedings of the American Mathematical Society, 1960 by the generalized Schwarz inequality [2, p. 262]. Now (2) follows immediately from (1) and (3), using (U*y, U*y) = (y, y). If aC is finite dimensional, the bound is attained for x U*y =u-+v, where u and v are unit eigenvectors of A corresponding to eigenvalues m and M. In the general case, the bound need not be attained; but a sequence xn= U*yn=un+vn,
openaire +4 more sources
Generalization on Kantorovich inequality [PDF]
Journal of Mathematical Inequalities, 2013 In this paper, we provide a new form of upper bound for the converse of Jensen's inequality. Thereby, known estimations of the difference and ratio in Jensen's inequality are es- sentially improved. As an application, we also obtain an improvement of Kantorovich inequality.
Masatoshi Fujii +2 more
openaire +1 more source
A Baskakov-Kantorovich operators reproducing affine functions: inverse results
Journal of Numerical Analysis and Approximation Theory, 2022 In a previous paper the author presented a Kantorovich modification of Baskakov operators which reproduce affine functions and he provided an upper estimate for the rate of convergence in polynomial weighted spaces.
Jorge Bustamante
doaj +1 more source
On Several Matrix Kantorovich-Type Inequalities [PDF]
Journal of Inequalities and Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhibing Liu, Linzhang Lu, Kanmin Wang
openaire +5 more sources
On a Kantorovich-Rubinstein inequality [PDF]
Journal of Mathematical Analysis and Applications, 2021 An easy consequence of Kantorovich-Rubinstein duality is the following: if $f:[0,1]^d \rightarrow \infty$ is Lipschitz and $\left\{x_1, \dots, x_N \right\} \subset [0,1]^d$, then $$ \left| \int_{[0,1]^d} f(x) dx - \frac{1}{N} \sum_{k=1}^{N}{f(x_k)} \right| \leq \left\| \nabla f \right\|_{L^{\infty}} \cdot W_1\left( \frac{1}{N} \sum_{k=1}^{N}{ _{x_k}} ,
openaire +3 more sources