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Numerical Radius Inequalities of Quaternionic Right Linear Bounded Operators

Bulletin of the Iranian Mathematical Society
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Moulaharabbi, Somayya, Barraa, Mohamed
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Generalizations of Landau’s Inequality to Linear Operators

1972
In 1913 Edmund Landau [13] proved that if f is continuous together with its first and second order derivatives in the interval [0, 1], if ‖ f ‖ = 1, ‖ f″‖=4, then $$\left\| {f'} \right\| \mathbin{\lower.3ex\hbox ...
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More operator inequalities for positive linear maps

2017
Summary: In this paper, we present some new operator inequality for convex functions. We have obtained a number of Jensen's type inequalities for convex and operator convex functions of self-adjoint operators for positive linear maps. Some results are exemplified for power and logarithmic functions.
Dragomir, Sever S   +3 more
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Linear operator inequalities for strongly stable weakly regular linear systems

Mathematics of Control, Signals, and Systems (MCSS), 2001
Weakly regular linear systems introduced by \textit{M. Weiss} and \textit{G. Weiss} [Math. Control Signals Syst. 10, No. 4, 287--330 (1997; Zbl 0884.49021)] form a large subclass of well-posed (in the sense of \textit{D. Salamon} [Trans. Am. Math. Soc.
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Polya's inequality for positive linear operators

Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti, 1997
Recently, H.Alzer, generalizing an earlier result of G.Polya, gave an inequality involving the geometric mean of integrals. Here we give related results for means of bounded linear positive operators in Hilbert space.
Mond, Bertram   +3 more
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A Problem Concerning an Inequality for Linear Operators

1983
Let X be an ordered topological vector space, and let A be a linear operator in X. Let us assume that the sequence Anx is convergent for every x ∈ X. Let K be the set of all solutions of the inequality $$Ax\,\leq\,x,\,x\,\varepsilon\,X$$ .
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Scalable optical learning operator

Nature Computational Science, 2021
Uğur Teğin   +2 more
exaly  

Some Inequalities for Positive Linear Maps of Operators

2017
Lin’in[3] teki çalışmasından ilhamalarak, Mond ve Pecaric’in [1] deki çalışmasında verilen bazı operatöreşitsizliklerinin genelleştirilmesi şu şekilde yapıldı: A, Hilbertuzayı üzerinde 0<m≤A≤M şartınısağlayan bir pozitif operatör olmak üzere, 2<p<∞ ve hernormalize edilmiş Φ pozitif lineerdönüşümü içinΦ^{p}(A²)≤((((M²+m²)^{p})/(4M ...
GÜMÜŞ, İbrahim Halil, FU, Xiaohui
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