Volume 28, Issue 1
Some New Type of Difference Sequence Spaces Defined by Modulus Function and Statistical Convergence

Ayhan Esi and Binod Chandra Tripathy

10.4208/ata.2012.v28.n1.3

Anal. Theory Appl., 28 (2012), pp. 19-26

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  • Abstract

In this article we introduce the difference sequence spaces $W_0[ f, \Delta m]$, $W_1[ f ,\Delta m]$,$W_\infty[ f ,\Delta m]$ and $S[ f ,\Delta m]$, defined by a modulus function f. We obtain a relation between$W_1[ f ,\Delta m]\cap l_\infty[ f ,\Delta m]$ and $S[ f ,\Delta m]\cap l_\infty[ f ,\Delta m]$ and prove some inclusion results.

  • History

Published online: 2012-03

  • AMS Subject Headings

40A05, 40A35, 46A45

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