Refined Berezin number inequalities via superquadratic and convex functions-Reference-Cited by-同舟云学术

Refined Berezin number inequalities via superquadratic and convex functions

Published:2023 Issue:1 Volume:37 Page:265-277
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Chien Fengsheng¹,Bakherad Mojtaba²,Alomari Mohammad³

Affiliation:

1. School of Finance and Accounting, Fuzhou University of International Studies and Trade, Fuzhou , China, and Faculty of Business, City university of Macau, Macau , China

2. Department of Mathematics, Faculty of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran

3. Department of Mathematics, Faculty of Science and Information Technology, Irbid National University, Irbid, Jordan

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)|)).

Publisher

National Library of Serbia

Subject

General Mathematics

Reference28 articles.

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