Improving upper bounds of Berezin number inequalities using convex function

Authors

SANA KHANFollow
MEHMET GÜRDALFollow
MUHAMMAD SAEED AKRAMFollow

Author ORCID Identifier

SANA KHAN: 0000-0002-2776-4348

MEHMET GÜRDAL: 0000-0003-0866-1869

MUHAMMAD SAEED AKRAM: 0009-0008-1099-3241

Abstract

In this research article, new upper bounds are established for the Berezin number of bounded linear operators within the context of functional Hilbert space using the convex function. These bounds are achieved by exploiting an extension of Furuta's inequality and an extension of Kato's inequality. These Berezin number bounds are refinements of already existing bounds found in the literature.

DOI

10.55730/1300-0098.3583

Keywords

Berezin number, Bounded linear operator, Convex function., Functional Hilbert space

First Page

201

Last Page

220

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Recommended Citation

KHAN, SANA; GÜRDAL, MEHMET; and AKRAM, MUHAMMAD SAEED (2025) "Improving upper bounds of Berezin number inequalities using convex function," Turkish Journal of Mathematics: Vol. 49: No. 2, Article 5. https://doi.org/10.55730/1300-0098.3583
Available at: https://journals.tubitak.gov.tr/math/vol49/iss2/5