Refined Berezin number inequalities via superquadratic and convex functions
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DOI: 10.2298/fil2301265c
Abstract: In this paper, we generalize and refine some Berezin number inequalities for Hilbert space operators. Namely, we refine the Hermite-Hadamard inequality and some other recent results by using the concept of superquadraticity and convexity. Then… read more here.
Keywords: refined berezin; number inequalities; berezin number; number ... See more keywords
Some New Estimates for the Berezin Number of Hilbert Space Operators
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DOI: 10.3390/axioms11120683
Abstract: In this paper, we have developed new estimates of some estimates involving the Berezin norm and Berezin number of bounded linear operators defined on a reproducing kernel Hilbert space HΩ. The uniqueness or novelty of… read more here.
Keywords: estimates berezin; new estimates; berezin number; hilbert space ... See more keywords
Complete refinements of the Berezin number inequalities
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DOI: 10.7153/jmi-2019-13-79
Abstract: In this paper, several refinements of the Berezin number inequalities are obtained. We generalize inequalities involving powers of the Berezin number for product of two operators acting on a reproducing kernel Hilbert space $\mathcal H=\mathcal… read more here.
Keywords: beta; frac; refinements berezin; alpha ... See more keywords