Weighted δ-numerical radius and weighted δ-Crawford number functions


İSMAİLOV Z., Cevik E. O.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.55, sa.4, ss.1507-1525, 2026 (SCI-Expanded, Scopus, TRDizin)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 55 Sayı: 4
  • Basım Tarihi: 2026
  • Doi Numarası: 10.15672/hujms.1753320
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.1507-1525
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

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.