Matrix Transforms of Summability Domains of Zweier Method
DOI:
https://doi.org/10.15377/2409-5761.2018.05.2Keywords:
Matrix transforms, Factorable matrices, Zweier method, 2010 Mathematics Subject Classification: 40C05, 40G99.Abstract
Let Z1/2 be the Zweier method, and B and M matrices with real or complex entries. In the present paper, we find necessary and sufficient conditions for M to be transform from the summability domain of Z1/2 into the summability domain of B if B is lower triangular. For an infinite matrix B, we consider only sufficient conditions.
Downloads
References
Aasma A, Dutta H, Natarajan PN. An Introductory Course in Summability Theory. John Wiley & Sons: Hoboken 2017. https://doi.org/10.1002/9781119397786 DOI: https://doi.org/10.1002/9781119397786
Aasma A. Characterization of matrix transformations of summability fields. Acta et Comment Univ. Tartuensis 1991; 928: 3-14.
Aasma A. Transformations of summability fields. Acta et Comment Univ. Tartuensis 1987; 770: 38-51 (in Russian).
Boos J. Classical and modern methods in summability. Oxford University Press: Oxford 2000.
Downloads
Published
Issue
Section
License
Copyright (c) 2018 Journal of Advances in Applied & Computational Mathematics
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
All the published articles are licensed under the terms of the Creative Commons Attribution Non-Commercial License (CC BY-NC 4.0) which permits unrestricted, non-commercial use, distribution and reproduction in any medium, provided the work is properly cited.
