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 language||English (US)|
|Number of pages||7|
|Journal||International Journal of Mathematics and Mathematical Sciences|
|State||Published - Oct 3 2005|
All Science Journal Classification (ASJC) codes
- Mathematics (miscellaneous)