Zobrazeno 1 - 10
of 15
pro vyhledávání: '"Wenshi Liao"'
Autor:
Wenshi Liao, Pujun Long
Publikováno v:
Mathematics, Vol 11, Iss 19, p 4032 (2023)
The distribution of eigenvalues and the upper bounds for the spread of interval matrices are significant in various fields of mathematics and applied sciences, including linear algebra, numerical analysis, control theory, and combinatorial optimizati
Externí odkaz:
https://doaj.org/article/6a5b153653364054bcd5a1274ed3ff3e
Publikováno v:
Journal of Inequalities and Applications, Vol 2018, Iss 1, Pp 1-9 (2018)
Abstract This note aims to generalize the reverse weighted arithmetic–geometric mean inequality of n positive invertible operators due to Lawson and Lim. In addition, we make comparisons between the weighted Karcher mean and Lawson–Lim geometric
Externí odkaz:
https://doaj.org/article/934e81f382304f84abd2d3be333951d9
We present several generalizations and refinements of the Bellman inequality involving the interpolation paths by the Callebautinequality and apply it to the operator geometric means acting on a Hilbert space. We also give some reverse operator Bellm
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ac0c3a9a1d96dc8a02a3d8b1894bbd63
https://doi.org/10.21203/rs.3.rs-2867664/v1
https://doi.org/10.21203/rs.3.rs-2867664/v1
Publikováno v:
Journal of Inequalities and Applications, Vol 2018, Iss 1, Pp 1-9 (2018)
Journal of Inequalities and Applications
Journal of Inequalities and Applications
This note aims to generalize the reverse weighted arithmetic–geometric mean inequality of n positive invertible operators due to Lawson and Lim. In addition, we make comparisons between the weighted Karcher mean and Lawson–Lim geometric mean for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4ff5754feab13a3d96c2534ebf7fecd3
http://link.springer.com/article/10.1186/s13660-018-1817-5
http://link.springer.com/article/10.1186/s13660-018-1817-5
Autor:
Leila Nasiri, Wenshi Liao
Publikováno v:
Operators and Matrices. :1063-1071
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0f99b59dd888fdc66a864e61814838fc
https://doi.org/10.7153/oam-2018-12-64
https://doi.org/10.7153/oam-2018-12-64
Autor:
Junliang Wu, Wenshi Liao
Publikováno v:
Filomat. 31:871-876
This paper improves and generalizes the operator versions of Kantorovich and Wielandt inequalities for positive linear maps on Hilbert space and presents more general and precise results compared to many previous results due to Fu and He [Linear Mult
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::969df6ef90f7079bcce6eb73b8585dde
https://doi.org/10.2298/fil1703871l
https://doi.org/10.2298/fil1703871l
Autor:
Wenshi Liao, Junliang Wu
Publikováno v:
Ann. Funct. Anal. 6, no. 3 (2015), 191-202
Motivated by the refinements and reverses of arithmetic-geometric mean and arithmetic-harmonic mean inequalities for scalars and matrices, in this article, we generalize the scalar and matrix inequalities for the difference between arithmetic mean an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::33d6ba84ff4dc4bbcdfc440eb3d324b6
https://doi.org/10.15352/afa/06-3-16
https://doi.org/10.15352/afa/06-3-16
Publikováno v:
Journal of Mathematical Inequalities. :747-756
In this paper we present two improved arithmetic-geometric inequalities with Kan- torovich constant (Lemma 3 and Lemma 5), based on which we provide some refinements in the operator case and then finally refer to the operator inequalities involving H
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5bf033d12467e60dd9b9596ab9e8cba2
https://doi.org/10.7153/jmi-08-56
https://doi.org/10.7153/jmi-08-56
Autor:
Junliang Wu, Wenshi Liao
In this article, we study the further refinements and reverses of the Young and Heinz inequalities with the Kantorovich constant. These modified inequalities are used to establish corresponding operator inequalities on Hilbert space and Hilbert-Schmi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ce18f71723b9dcb28a0842671a13c37d
http://arxiv.org/abs/1506.00226
http://arxiv.org/abs/1506.00226
Publikováno v:
Taiwanese J. Math. 19, no. 2 (2015), 467-479
We show new versions of reverse Young inequalities by virtue of the Kantorovich constant, and utilizing the new reverse Young inequalities we give the reverses of the weighted arithmetic-geometric and geometric-harmonic mean inequalities for two posi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2acbf678e233021f43ca76888d898c7b
https://doi.org/10.11650/tjm.19.2015.4548
https://doi.org/10.11650/tjm.19.2015.4548