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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… Click to show full 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 we extend these inequalities for the Berezin number. Among other inequalities, it is shown that if S, T ? L(H(?)) such that ber(T) ? ber(|S|) and f is a nonnegative superquadratic function, then f (ber (T)) ? ber(f (|S|)) ? ?ber (f (||S| ? ber (T)|)).
Keywords:
refined berezin;
number inequalities;
berezin number;
number;
ber ber;
inequalities via
Journal Title: Filomat
Year Published: 2023
Link to full text (if available)
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Journal Title: Filomat
Year Published: 2023
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!