Weighted δ-Numerical Radius and Weighted δ-Crawford Number Functions

Zameddin İsmailov; Elif Otkun Çevik

doi:10.15672/hujms.1753320

Weighted δ-Numerical Radius and Weighted δ-Crawford Number Functions

Abstract

In this study, we investigate several important algebraic and smoothness properties of the weighted δ-numerical radius and the weighted δ-Crawford number functions. We also derive estimates of the upper and lower bounds of these weighted functions. Particular attention is paid to the sectorial case of the operators under consideration. The results obtained not only extend certain known results in the literature but also provide a variety of useful techniques that may contribute to further developments in this field.

Keywords

Supporting Institution

There is no supporting institution for this work.

Ethical Statement

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

References

[1] A. Abu-Omar, F. Kittaneh, A generalization of the numerical radius, Linear Algebra Appl. 569, 323-334, 2019

Details

Primary Language

English

Subjects

Operator Algebras and Functional Analysis

Journal Section

Research Article

Authors

Zameddin İsmailov
0000-0001-5193-5349
Türkiye

Elif Otkun Çevik ^*
0000-0001-8506-1889
Türkiye

Early Pub Date

December 30, 2025

Publication Date

December 30, 2025

Submission Date

July 29, 2025

Acceptance Date

November 29, 2025

Published in Issue

Year 2026 Number: Advanced Online Publication

DOI

https://doi.org/10.15672/hujms.1753320

IZ

https://izlik.org/JA28BD34XJ

Cite

RIS / Bibtex

APA

İsmailov, Z., & Otkun Çevik, E. (2025). Weighted δ-Numerical Radius and Weighted δ-Crawford Number Functions. Hacettepe Journal of Mathematics and Statistics, Advanced Online Publication. https://doi.org/10.15672/hujms.1753320

AMA

1.İsmailov Z, Otkun Çevik E. Weighted δ-Numerical Radius and Weighted δ-Crawford Number Functions. Hacettepe Journal of Mathematics and Statistics. 2025;(Advanced Online Publication). doi:10.15672/hujms.1753320

Chicago

İsmailov, Zameddin, and Elif Otkun Çevik. 2025. “Weighted δ-Numerical Radius and Weighted δ-Crawford Number Functions”. Hacettepe Journal of Mathematics and Statistics, no. Advanced Online Publication. https://doi.org/10.15672/hujms.1753320.

EndNote

İsmailov Z, Otkun Çevik E (December 1, 2025) Weighted δ-Numerical Radius and Weighted δ-Crawford Number Functions. Hacettepe Journal of Mathematics and Statistics Advanced Online Publication

IEEE

[1]Z. İsmailov and E. Otkun Çevik, “Weighted δ-Numerical Radius and Weighted δ-Crawford Number Functions”, Hacettepe Journal of Mathematics and Statistics, no. Advanced Online Publication, Dec. 2025, doi: 10.15672/hujms.1753320.

ISNAD

İsmailov, Zameddin - Otkun Çevik, Elif. “Weighted δ-Numerical Radius and Weighted δ-Crawford Number Functions”. Hacettepe Journal of Mathematics and Statistics. Advanced Online Publication (December 1, 2025). https://doi.org/10.15672/hujms.1753320.

JAMA

1.İsmailov Z, Otkun Çevik E. Weighted δ-Numerical Radius and Weighted δ-Crawford Number Functions. Hacettepe Journal of Mathematics and Statistics. 2025. doi:10.15672/hujms.1753320.

MLA

İsmailov, Zameddin, and Elif Otkun Çevik. “Weighted δ-Numerical Radius and Weighted δ-Crawford Number Functions”. Hacettepe Journal of Mathematics and Statistics, no. Advanced Online Publication, Dec. 2025, doi:10.15672/hujms.1753320.

Vancouver

1.Zameddin İsmailov, Elif Otkun Çevik. Weighted δ-Numerical Radius and Weighted δ-Crawford Number Functions. Hacettepe Journal of Mathematics and Statistics. 2025 Dec. 1;(Advanced Online Publication). doi:10.15672/hujms.1753320