Generalized Cesaro tensor and it's properties

Autor: Javad Fathi, Fatemeh Saieedi, Mostafa Zangiabadi
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Journal of Mahani Mathematical Research, Vol 13, Iss 2, Pp 93-106 (2024)
Druh dokumentu: article
ISSN: 2251-7952
2645-4505
DOI: 10.22103/jmmr.2023.21701.1456
Popis: Recently, infinite and finite dimensional generalized Hilbert tensors have been introduced. In this paper, the authors further introduce infinite and finite dimensional generalized Cesaro tensors as a generalization of Cesaro matrices and discuss the properties of these structured tensors. Next, some upper bounds of $Z_{1}$-spectral radius of generalized Cesaro tensors and generalized Hilbert tensors are given, which improves the existing ones. Finally, we obtain conditions under which a generalized Cesaro tensor is column sufficient tensor.
Databáze: Directory of Open Access Journals