Results 11 to 20 of about 62 (61)
Some integral inequalities for operator monotonic functions on Hilbert spaces
Special Matrices, 2020 Let f be an operator monotonic function on I and A, B∈I (H), the class of all selfadjoint operators with spectra in I. Assume that p : [0.1], →ℝ is non-decreasing on [0, 1].
Dragomir Silvestru Sever
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On further refinements for Young inequalities
Open Mathematics, 2018 In this paper sharp results on operator Young’s inequality are obtained. We first obtain sharp multiplicative refinements and reverses for the operator Young’s inequality.
Furuichi Shigeru, Moradi Hamid Reza
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Bounds for total antieigenvalue of a normal operator
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 70, Page 3877-3884, 2004., 2004 We give an alternative proof of a theorem of Gustafson and Seddighin (1993) following the idea used by Das et al. in an earlier study of antieigenvectors (1998). The result proved here holds for certain classes of normal operators even if the space is infinite dimensional.
Sk. M. Hossein +3 more
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The logarithmic mean of two convex functionals
Open Mathematics, 2020 The purpose of this paper is to introduce the logarithmic mean of two convex functionals that extends the logarithmic mean of two positive operators. Some inequalities involving this functional mean are discussed as well.
Raïssouli Mustapha, Furuichi Shigeru
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Certain remarks on a class of evolution quasi‐variational inequalities
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 12, Page 851-855, 2000., 2000 We prove two existence theorems, one for evolution quasi‐variational inequalities and the other for a time‐dependent quasi‐variational inequality modeling the quasi‐static problem of elastoplasticity with combined kinetic‐isotropic hardening.
A. H. Siddiqi, Pammy Manchanda
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Structure of the antieigenvectors of a strictly accretive operator
International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 4, Page 761-766, 1998., 1997 A necessary and sufficient condition that a vector f is an antieigenvector of a strictly accretive operator A is obtained. The structure of antieigenvectors of selfadjoint and certain class of normal operators is also found in terms of eigenvectors. The Kantorovich inequality for selfadjoint operators and the Davis′s inequality for normal operators are
K. C. Das, M. Das Gupta, K. Paul
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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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Mean theoretic approach to a further extension of grand Furuta inequality [PDF]
, 2020 . Very recently, Furuta has shown a further extension of grand Furuta inequality. In this paper, we obtain a more precise and clear expression of Furuta's extension by considering a mean theoretic proof of grand Furuta inequality. Moreover, we get a
Masatoshi Ito, Eizaburo Kamei
core
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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Quadratic refinements of matrix means
, 2017 The main target of this article is to present refinements of the matrix arithmetic-geometric mean inequality. The main difference between these refinements and the ones in the literature is the quadratic behavior of the refining terms.
SABABHEH, Mohammad
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