A new application of generalized almost increasing sequencess

摘要

In the present paper, a general theorem dealing with |A,pn;5|x summability factors of infinite series has been proved by using almost increas- ing sequence. This theorem also includes some known and new results. a normal matrix, i.e., a lower triangular matrix of nonzero diagonal entries. Then A defines the sequence-to-sequence transformation, mapping the sequence s = (sp).