On sequence ideal using Orlicz function and de la Vallée Poussin mean | Zendy

Amit Maji | Zendy; P. D. Srivastava | Zendy

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On sequence ideal using Orlicz function and de la Vallée Poussin mean

Author(s) -

Amit 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

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