期刊名称:International Journal of Mathematics and Mathematical Sciences
印刷版ISSN:0161-1712
电子版ISSN:1687-0425
出版年度:2005
卷号:2005
DOI:10.1155/IJMMS.2005.2647
出版社:Hindawi Publishing Corporation
摘要:In 1977, Jacob defines Gα, for any 0≤α<∞, as the set of all complex sequences x such that |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.