Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur 721 302, West Bengal, India
Abstract
In this paper we have introduced a new sequence ideal using Orlicz function and the notion of de la Valle´e Poussin mean. It is proved that the Cesa´ ro-Orlicz sequence ideal is complete under a suitable norm. Moreover, it is shown that Cesa´ ro-Orlicz sequence ideal is maximal, and if the Orlicz function satisfies D2-condition at zero then it is also minimal.
Maji, A., & Srivastava, P. (2014). On sequence ideal using Orlicz function and de la Vallée Poussin mean. Journal of the Egyptian Mathematical Society, 22(3), 466-470.
MLA
Amit Maji; P.D. Srivastava. "On sequence ideal using Orlicz function and de la Vallée Poussin mean". Journal of the Egyptian Mathematical Society, 22, 3, 2014, 466-470.
HARVARD
Maji, A., Srivastava, P. (2014). 'On sequence ideal using Orlicz function and de la Vallée Poussin mean', Journal of the Egyptian Mathematical Society, 22(3), pp. 466-470.
VANCOUVER
Maji, A., Srivastava, P. On sequence ideal using Orlicz function and de la Vallée Poussin mean. Journal of the Egyptian Mathematical Society, 2014; 22(3): 466-470.
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