Generalized Cesaro tensor and it's properties

Fathi, Javad; Saieedi, Fatemeh; Zangiabadi, Mostafa

doi:10.22103/jmmr.2023.21701.1456

Generalized Cesaro tensor and it's properties

Document Type : Research Paper

Authors

Javad Fathi

Fatemeh Saieedi

Mostafa Zangiabadi

Department of Mathematics, University of Hormozgan, P.O. BOX 3995, Bandar Abbas, Iran

10.22103/jmmr.2023.21701.1456

Abstract

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.

Keywords

Generalized Ces´aro tensor

Z1-eigenvalue

Column sufficient tensor

Subjects

Analysis

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