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