Open AccessOn sequence ideal using Orlicz function and de la Vallée Poussin mean
Author(s) -
Avijit Maji,
P. D. Srivastava
Publication year - 2014
Publication title -
journal of the egyptian mathematical society
Language(s) - English
Resource type - Journals
eISSN - 2090-9128
pISSN - 1110-256X
DOI - 10.1016/j.joems.2013.12.003
Subject(s) - mathematics , ideal (ethics) , sequence (biology) , norm (philosophy) , function (biology) , combinatorics , pure mathematics , philosophy , genetics , epistemology , political science , law , biology , evolutionary biology
In this paper we have introduced a new sequence ideal using Orlicz function and the notion of de la Vallée Poussin mean. It is proved that the Cesáro-Orlicz sequence ideal is complete under a suitable norm. Moreover, it is shown that Cesáro-Orlicz sequence ideal is maximal, and if the Orlicz function satisfies Δ2-condition at zero then it is also minimal