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Some trace inequalities for matrix means
... In this short note, we first obtain a trace inequality, which is similar to inequality ... This article is distributed under the terms of the Creative Commons Attribution 4.0 Internatio[r] ... See full document
5
On Riesz Mean Inequalities for Subelliptic Laplacian
... Riesz means of eigenvalues of the subelliptic Laplacian on the Heisen- berg group ...a trace formula of associated eigenvalues, then we prove differential inequali- ties, difference inequalities and ... See full document
5
Unitarily invariant norm inequalities involving Heron and Heinz means
... present some new inequalities for unitarily invariant norms involving Heron and Heinz means for matrices, which generalize the result of Theorem ...of some existing ... See full document
7
Trace inequalities for positive operators via recent refinements and reverses of Young's inequality
... obtain some trace inequalities for positive operators via recent refinements and re- verses of Young’s inequality due to Kittaneh-Manasrah, Liao-Wu-Zhao, Zuo-Shi-Fujii, Tominaga and ...Operator ... See full document
13
Some means inequalities for positive operators in Hilbert spaces
... derive some new generalizations of Heinz operator inequalities by refining the ordering relations among Heinz means with different parameters, and of the geometric mean by investigat- ing geometric ... See full document
13
On Some Matrix Trace Inequalities
... Feng, “A note on the trace inequality for products of Hermitian matrix power,” Journal of Inequalities in Pure and Applied Mathematics, vol.. Thirring, Studies in Mathematical Physics, E[r] ... See full document
8
On some trace inequalities for positive definite Hermitian matrices
... Hermitian matrix (or self-adjoint matrix) is a square matrix with com- plex entries that is equal to its own conjugate ...the matrix A is Hermitian if and only if A = A T , where A T denotes ... See full document
6
Several matrix trace inequalities on Hermitian and skew Hermitian matrices
... several matrix trace inequalities on Hermitian and skew-Hermitian matrices will be obtained ...following matrix trace inequalities are ... See full document
8
Trace Inequalities for Matrix Products and Trace Bounds for the Solution of the Algebraic Riccati Equations
... the trace of the product of two real square matrices in which one is ...the trace are the tightest among the parallel trace bounds in symmetric ...obtained some trace bounds for the ... See full document
17
Trace-Inequalities and Matrix-Convex Functions
... A real-valued continuous function f t on an interval α, β gives rise to a map X → fX via functional calculus from the convex set of n × n Hermitian matrices all of whose eigenvalues belong to the interval. Since the ... See full document
12
A note on the Young type inequalities
... present some refinements of the famous Young type ...obtain some matrix inequalities for the Hilbert-Schmidt norm and the trace ...type inequalities for matrices, ... See full document
7
Matrix operator inequalities based on Mond, Pecaric, Jensen and Ando's
... Operator inequalities play important roles in various mathematical and statistical con- ...operator inequalities, there have been many research results, where useful references centered mainly literatures ... See full document
13
Some inequalities for the minimum eigenvalue of the Hadamard product of an M matrix and an inverse M matrix
... Several convergent sequences of the lower bounds of the minimum eigenvalue for the Hadamard product of an M-matrix and an inverse M-matrix are given. Numerical examples show that these sequences could reach ... See full document
9
Some inequalities for (h,m) convex functions
... Abstract In the paper, the authors give some inequalities of Jensen type and Popoviciu type for h, m-convex functions and apply these inequalities to special means.. MSC: Primary 26A51; [r] ... See full document
12
Notes on Greub Rheinboldt inequalities
... In the next section, we propose some refinements about the matrix Kantorovich-type inequalities (.), the Greub-Rheinboldt inequality for commutative positive definite Her- mitian matrix pairs, ... See full document
8
Some Fejer Type Inequalities for Harmonically-Convex Functions with Applications to Special Means
... and some new Fej´ er type integral inequalities are presented for the class of harmonically convex ...special means of positive real numbers are given as ... See full document
14
On some exponential means Part II
... We prove some new inequalities involving an exponential mean, its complementary, and some means derived from known means by applying the exp-log method.. Copyright © 2006 Hindawi Publish[r] ... See full document
9
On the Connection between Kronecker and Hadamard Convolution Products of Matrices and Some Applications
... present some important connections between these two ...establish some attractive inequalities for Hadamard convolution ...and some basic properties of matrix convolution products are ... See full document
10
Sigma bounded sequence and some matrix transformations
... Mursaleen, Some matrix transformtions on sequence spaces of invariant means, Hacet. Nanda, On some sequence spaces, Math[r] ... See full document
7
Inequalities for Quantum f-Divergence of Trace Class Operators in Hilbert Spaces
... Abstract. Some inequalities for quantum f-divergence of trace class opera- tors in Hilbert spaces are ...nonnegative. Some upper bounds for quantum f-divergence in terms of variational and χ 2 ... See full document
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