Generalized Cesaro tensor and it's properties

Document Type : Research Paper

Authors

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

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.

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References

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Journal of Mahani Mathematical Research

Articles in Press, Accepted Manuscript
Available Online from 18 November 2023

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History

  • Receive Date: 13 June 2023
  • Revise Date: 08 September 2023
  • Accept Date: 17 November 2023

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