Matrix transformations and Walsh's equiconvergence theorem

Chikkanna R. Selvaraj and Suguna Selvaraj

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-7

Abstract:

In 1977, Jacob defines G α , for any 0 ≤ α < ∞ , as the set of all complex sequences x such that | x k | 1 / k ≤ α . In this paper, we apply G u − G v matrix transformation on the sequences of operators given in the famous Walsh's equiconvergence theorem, where we have that the difference of two sequences of operators converges to zero in a disk. We show that the G u − G v matrix transformation of the difference converges to zero in an arbitrarily large disk. Also, we give examples of such matrices.

Date: 2005
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/2005/282804.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/2005/282804.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:282804

DOI: 10.1155/IJMMS.2005.2647

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().