Maji, A., Srivastava, P. (2014). On sequence ideal using Orlicz function and de la Vallée Poussin mean. test, 22(3), 466-470.
Amit Maji; P.D. Srivastava. "On sequence ideal using Orlicz function and de la Vallée Poussin mean". test, 22, 3, 2014, 466-470.
Maji, A., Srivastava, P. (2014). 'On sequence ideal using Orlicz function and de la Vallée Poussin mean', test, 22(3), pp. 466-470.
Maji, A., Srivastava, P. On sequence ideal using Orlicz function and de la Vallée Poussin mean. test, 2014; 22(3): 466-470.

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

Journal of the Egyptian Mathematical Society
Volume 22, Issue 3, October 2014, Pages 466-470    PDF (449.81 K)
Document Type: Original Article
Authors
Amit Maji; P.D. Srivastava
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.
Keywords
Sequence ideals; Orlicz function; de la Valle´e Poussin mean
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