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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 55 Issue: 4

Weighted $\delta$-numerical radius and weighted $\delta$-Crawford number functions

Zameddin İsmailov(KARADENIZ TECHNICAL UNIVERSITY)0000-0001-5193-5349
Elif Otkun Çevik(AVRASYA ÜNİVERSİTESİ)0000-0001-8506-1889
Sayfa
—
Yayın Tarihi
2025-12-30
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this study, we investigate several important algebraic and smoothness properties of the weighted $\delta$-numerical radius and the weighted $\delta$-Crawford number functions.
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Temel Bulgular & Veri:We also derive estimates of the upper and lower bounds of these weighted functions.
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Sonuç & Katkı: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.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:weighted $\delta$-numerical radius · weighted $\delta$-Crawford number · sectorial operator

Abstract

In this study, we investigate several important algebraic and smoothness properties of the weighted $\delta$-numerical radius and the weighted $\delta$-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.

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Bu Makaleye Atıf Yap

İsmailov, Z., Çevik, E. O. (2025). Weighted $\delta$-numerical radius and weighted $\delta$-Crawford number functions. Hacettepe Journal of Mathematics and Statistics, Volume: 55 Issue: 4. https://doi.org/10.15672/hujms.1753320

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