Results 31 to 40 of about 1,171 (115)
Operator inequalities via geometric convexity
Mathematical Inequalities & Applications, 2019 The main goal of this paper is to present new generalizations of some known inequalities for the numerical radius and unitarily invariant norms of Hilbert space operators.
M. Sababheh, H. Moradi, S. Furuichi
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Some new operator inequalities
, 2020 In this article, we present some new inequalities for positive linear mappings that can be viewed as super multiplicative inequalities. As applications, we deduce some numerical radius inequalities.
M. Sababheh +2 more
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Extending a result of Haynsworth
Journal of Mathematical Inequalities, 2020 Haynsworth [4] refined a determinant inequality for two positive definite matrices. We extend Haynsworth’s result to more than two positive definite matrices and obtain some inequalities for sum of positive definite matrices.
Qian Li, Qingwen Wang, S. Dong
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Variety of fractional Laplacians [PDF]
arXiv, 2021 This paper is a survey of recent results on comparison of various fractional Laplacians prepared for Proceedings of ICM2022.
arxiv
Some Hermite-Hadamard type inequalities for operator convex functions and positive maps
Special Matrices, 2019 In this paper we establish some inequalities of Hermite-Hadamard type for operator convex functions and positive maps. Applications for power function and logarithm are also provided.
Dragomir S. S.
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The Riemannian mean and matrix inequalities related to the Ando-Hiai inequality and chaotic order
, 2012 The Riemannian mean on the convex cone of positive definite matrices is a kind of geometric mean of n -matrices which is an extension of the geometric mean of two-matrices.
Takeaki Yamazaki
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Inequalities for the λ-weighted mixed arithmetic-geometric-harmonic means of sector matrices
, 2020 In this note, we first explain a minor error in the literature [3]. Secondly, we prove the λ -weighted mixed arithmetic-geometric-harmonic-mean inequalities of A and B which are the generalizations of the results already introduced in [3].
Song Lin, Xiaohui Fu
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Trace inequalities for positive operators via recent refinements and reverses of Young’s inequality
Special Matrices, 2018 In this paper we obtain some trace inequalities for positive operators via recent refinements and reverses of Young’s inequality due to Kittaneh-Manasrah, Liao-Wu-Zhao, Zuo-Shi-Fujii, Tominaga and Furuichi.
Dragomir S. S.
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Developed Matrix inequalities via Positive Multilinear Mappings [PDF]
Linear Algebra Appl. 484 (2015) 63-85, 2015 Utilizing the notion of positive multilinear mappings, we give some matrix inequalities. In particular, Choi--Davis--Jensen and Kantorovich type inequalities including positive multilinear mappings are presented.
arxiv +1 more source
The Minimum Numbers for Certain Positive Operators
, 2020 In this paper we give upper and lower bounds of the infimum of k such that kI + 2Re(T ⊗ Sm) is positive, where Sm is the m ×m matrix whose entries are all 0’s except on the superdiagonal where they are all 1’s and T ∈ B(H) for some Hilbert space H.
C. Suen
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