On the Sequential Joint (<i>f</i>,<i>δ</i>,<i>q</i>)-Numerical Radius
MATHEMATICS, cilt.14, sa.17, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 14 Sayı: 17
- Basım Tarihi: 2026
- Doi Numarası: 10.3390/math14173117
- Dergi Adı: MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, zbMATH, Directory of Open Access Journals, Academic Search Ultimate (EBSCO), Materials Science & Engineering Collection (ProQuest), Technology Collection (ProQuest)
- Karadeniz Teknik Üniversitesi Adresli: Evet
Özet
In this paper, a new sequential joint (f,delta,q) -numerical radius is introduced for sequences of bounded linear operators on Hilbert spaces, motivated by recent generalizations of the numerical radius. Firstly, several fundamental properties of the sequential joint (f,delta,q) -numerical radius function are established. Subsequently, lower and upper bounds for the sequential joint (f,delta,q) -numerical radius function are derived, yielding generalizations of several known inequalities. Finally, the sequential joint (f,delta,q) -numerical radius function is investigated for operator sequences whose coordinate operators are sectorial, leading to further estimates and properties. The obtained results extend and unify a variety of existing results on numerical radius inequalities and provide new contributions to the theory of operator sequences on Hilbert spaces.