ACTA MATHEMATICA
UNIVERSITATIS COMENIANAE





A note on some generalized summability methods

E. Savas, P. Das and S. Dutta

Received: March 12, 2013;   Accepted: June 26, 2013



Abstract.   In this paper, we continue our investigations in line of our recent papers, Savas and Das [16] and Das, Savas and Ghosal [5]. We introduce the notion of AI-statistical convergence which includes the new summability methods studied in [16] and [5] as special cases and make certain observations on this new and more general summability method.

Keywords:  Ideal, filter; AI-statistical convergence; AI-summability; closed subspace.  

AMS Subject classification: Primary:  40G15   Secondary: 46A99


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Acta Mathematica Universitatis Comenianae
ISSN 0862-9544   (Printed edition)

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