Sever Silvestru Dragomir (2017)
Concrete Operators
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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.
Minghua Lin (2013)
Studia Mathematica
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Let A, B be positive operators on a Hilbert space with 0 < m ≤ A, B ≤ M. Then for every unital positive linear map Φ, Φ²((A + B)/2) ≤ K²(h)Φ²(A ♯ B), and Φ²((A+B)/2) ≤ K²(h)(Φ(A) ♯ Φ(B))², where A ♯ B is the geometric mean and K(h) = (h+1)²/(4h) with h = M/m.
Muneo Chō, Tadasi Huruya (2004)
Studia Mathematica
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The purpose of this paper is to introduce mosaics and principal functions of p-hyponormal operators and give a trace formula. Also we introduce p-nearly normal operators and give trace formulae for them.
Seo, Yuki, Takahasi, Sin-El, Pečarić, Josip, Mićić, Jadranka (2000)
Journal of Inequalities and Applications [electronic only]
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Ivelić, S., Pečarić, J. (2011)
Journal of Inequalities and Applications [electronic only]
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C. O. Imoru (1975)
Matematički Vesnik
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J. D. Kečkić (1970)
Matematički Vesnik
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Silvestru Sever Dragomir (2015)
Open Mathematics
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We establish in this paper some Jensen’s type inequalities for functions defined by power series with nonnegative coefficients. Applications for functions of selfadjoint operators on complex Hilbert spaces are provided as well.
P. M. Vasić, J. E. Pečarić (1982)
Matematički Vesnik
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Vladimir Rakočević (2000)
Publications de l'Institut Mathématique
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Mario Krnić, Josip Pečarić (2013)
Open Mathematics
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By virtue of convexity of Heinz means, in this paper we derive several refinements of Heinz norm inequalities with the help of the Jensen functional and its properties. In addition, we discuss another approach to Heinz operator means which is more convenient for obtaining the corresponding operator inequalities for positive invertible operators.