Matrix transformations and Walsh's equiconvergence theorem

Chikkanna R. Selvaraj, Suguna Selvaraj

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

In 1977, Jacob defines Gα, for any 0 ≤ α < ∞, as the set of all complex sequences x such that lim sup xk 1/k ≤ α. In this paper, we apply Gu - Gv 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 Gu - Gv matrix transformation of the difference converges to zero in an arbitrarily large disk. Also, we give examples of such matrices.

Original languageEnglish (US)
Pages (from-to)2647-2653
Number of pages7
JournalInternational Journal of Mathematics and Mathematical Sciences
Volume2005
Issue number16
DOIs
StatePublished - Oct 3 2005

All Science Journal Classification (ASJC) codes

  • Mathematics (miscellaneous)

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