Estimates of the numerical radius utilizing various function properties

Authors

VUK STOJILJKOVICFollow
MEHMET GÜRDALFollow

Author ORCID Identifier

VUK STOJILJKOVIC: 0000-0002-4244-4342

MEHMET GÜRDAL: 0000-0003-0866-1869

Abstract

Numerous inequalities of the vector and numerical radius types have been found. We achieved several extensions of the well-known numerical radius type inequalities by using the function [[EQUATION]] described in the publication by Stojiljkovi\'{c} and Dragomir in [30] and convexity characteristics with standard operator theory approaches. In particular, the following integral type numerical radius inequality has been obtained, that is [[EQUATION]]

DOI

10.55730/1300-0098.3573

Keywords

Numerical radius, Norm, Integral type inequality

First Page

49

Last Page

64

Publisher

The Scientific and Technological Research Council of Türkiye (TÜBİTAK)

Creative Commons License

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

Recommended Citation

STOJILJKOVIC, VUK and GÜRDAL, MEHMET (2025) "Estimates of the numerical radius utilizing various function properties," Turkish Journal of Mathematics: Vol. 49: No. 1, Article 5. https://doi.org/10.55730/1300-0098.3573
Available at: https://journals.tubitak.gov.tr/math/vol49/iss1/5