Results 101 to 110 of about 1,164 (138)
On weighted mean matrices whose $l^p$ norms are determined on decreasing sequences [PDF]
arXiv, 2008 We give a condition on weighted mean matrices so that their $l^p$ norms are determined on decreasing sequences when the condition is satisfied. We apply our result to give a proof of a conjecture of Bennett and discuss some related results.
arxiv
Some reverse $l_p$-type inequalities involving certain quasi monotone sequences
, 2015 In this paper, we give some $l_p$-type inequalities about sequences satisfying certain quasi monotone type properties. As special cases, reverse $l_p$-type inequalities for non-negative decreasing sequences are obtained.
Berisha, Faton M. +3 more
core +1 more source
Scalar approximants of quadratic operators with applications
, 2018 Among other results, we find the best scalar approximant of a quadratic operator with respect to the numerical radius and the operator norm. We use these results to give estimates for the numerical radii of products and commutators of quadratic operators.
A. Abu-Omar, P. Wu
semanticscholar +1 more source
A matrix subadditivity inequality for symmetric norms [PDF]
arXiv, 2009 Well-known subadditivity results for positive operators (of Brown-Kosaki and Rotfeld/Ando-Zhan types) are extended to Hermitian and normal ones. Applications to Cartesian decomposition and block-matrices are given.
arxiv
A Note on l² Norms of Weighted Mean Matrices [PDF]
, 2007 We give a proof of Cartlidge’s result on the lp operator norms of weighted mean matrices for p = 2 on interpreting the norms as eigenvalues of certain ...
Gao, Peng
core +1 more source
The new reverses of Young type inequalities for numbers, operators and matrices
, 2018 In this note, we give reverses of Young inequality for numbers. Then we establish operator and matrix inequalities corresponding the obtained numerical inequalities. Mathematics subject classification (2010): 47A30, 15A42, 15A60.
Leila Nasiri, Wenshi Liao
semanticscholar +1 more source
On the metrizability of suprametric space
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaThe question of metrizability of suprametric space is answered positively. The observed metric coincides with a suprametric in a way that convergence and continuity are preserved between suprametric space and associated metric space along with the ...
Karapınar Erdal, Cvetković Marija
doaj +1 more source
On weighted remainder form of Hardy-type inequalities [PDF]
arXiv, 2009 We use different approaches to study a generalization of a result of Levin and Ste\v{c}kin concerning an inequality analogous to Hardy's inequality. Our results lead naturally to the study of weighted remainder form of Hardy-type inequalities.
arxiv
Bellman function approach to the sharp constants in uniform convexity [PDF]
, 2015 We illustrate Bellman function technique in finding the modulus of uniform convexity of $L^{p}$ spaces.Comment: 5 ...
Ivanisvili, Paata
core
Remarks on some singular value inequalities
, 2018 In this short note, we present new proofs for some singular value inequalities for matrices obtained by I. Garg and J. Aulja. Mathematics subject classification (2010): 47A30, 15A60.
Jianguo Zhao
semanticscholar +1 more source