Berezin number inequality for convex function in reproducing Kernel Hilbert Space

DOI10.2298/FIL1718711YzbMath1493.47007WikidataQ130034699 ScholiaQ130034699MaRDI QIDQ5019818

Ulaş Yamancı, Mehmet Gürdal, Mubariz T. Garayev

Publication date: 11 January 2022

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

convex functionself-adjoint operatornumerical radiusBerezin numberHardy-Hilbert's inequality

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Numerical range, numerical radius (47A12) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (22)

Improvements of some Berezin radius inequalities ⋮ Convexity of the Berezin range ⋮ Unnamed Item ⋮ New Berezin symbol inequalities for operators on the reproducing kernel Hilbert space ⋮ Berezin number inequalities involving superquadratic functions ⋮ Cebysev’s type inequalities and power inequalities for the Berezin number of operators ⋮ Operator inequalities in reproducing kernel Hilbert spaces ⋮ Numerical radius and Berezin number inequality ⋮ Upper and lower bounds of the AA-Berezin number of operators ⋮ On a New Norm on the Space of Reproducing Kernel Hilbert Space Operators and Berezin Radius Inequalities ⋮ Improvements of Berezin number inequalities ⋮ Hardy–Hilbert type inequality in reproducing kernel Hilbert space: its applications and related results ⋮ Unnamed Item ⋮ Berezin number, Grüss-type inequalities and their applications ⋮ Berezin number inequalities for operators ⋮ Some operator inequalities associated with Kantorovich and Hölder–McCarthy inequalities and their applications ⋮ Some inequalities involving Berezin symbols of operator means and related questions ⋮ Complete refinements of the Berezin number inequalities ⋮ New estimations for the Berezin number inequality ⋮ Some upper bounds for the Berezin number of Hilbert space operators ⋮ Davis-Wielandt-Berezin radius inequalities via Dragomir inequalities ⋮ Further refinements of the Berezin number inequalities on operators

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