Results 11 to 20 of about 568 (48)
Estimates for Tsallis relative operator entropy [PDF]
, 2017 We give the tight bounds of Tsallis relative operator entropy by using Hermite-Hadamard's inequality. Some reverse inequalities related to Young inequalities are also given.
Furuichi, Shigeru +2 more
core +1 more source
Operator inequalities of Jensen type
Topological Algebra and its Applications, 2013 We present some generalized Jensen type operator inequalities involving sequences of self-adjoint operators.
Moslehian M. S., Mićić J., Kian M.
doaj +1 more source
Trace inequalities of Shisha-Mond type for operators in Hilbert spaces
Concrete Operators, 2017 Some trace inequalities of Shisha-Mond type for operators in Hilbert spaces are provided. Applications in connection to Grüss inequality and for convex functions of selfadjoint operators are also given.
Dragomir Sever Silvestru
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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
wiley +1 more source
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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Some Inequalities for Power Series of Selfadjoint Operators in Hilbert Spaces via Reverses of the Schwarz Inequality [PDF]
, 2009 In this paper we obtain some operator inequalities for functions defined by power series with real coefficients and, more specifically, with non- negative coefficients.
Dragomir, Sever S
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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
wiley +1 more source
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
wiley +1 more source