On sequence ideal using Orlicz function and de la Vallée Poussin mean
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 functio...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
SpringerOpen
2014-10-01
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Series: | Journal of the Egyptian Mathematical Society |
Subjects: | |
Online Access: | http://www.sciencedirect.com/science/article/pii/S1110256X13001442 |
Summary: | 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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ISSN: | 1110-256X |