On statistical A-summability

نویسندگان

  • Osama H. H. Edely
  • Mohammad Mursaleen
چکیده

Let A = (ank)∞n,k=1 be an infinite matrix and x = (xk) ∞ k=1 a sequence of real or complex numbers. Then the A-transform of x is a sequence Ax = (An(x))where An(x) = ∑ ∞ k=1 ankxk provided that the series converges for each n; and the sequence x is said to be A-summable if Ax is convergent. In this paper we define statistical A-summability of x, that is, x is said to be statistically A-summable if Ax is statistically convergent. We study here many other related concepts and provide some interesting examples. © 2008 Elsevier Ltd. All rights reserved.

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عنوان ژورنال:
  • Mathematical and Computer Modelling

دوره 49  شماره 

صفحات  -

تاریخ انتشار 2009