p. 297 - 304 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 PDF Compressed Postscript Version to read ISSN 0862-9544 (Printed edition) Faculty of Mathematics, Physics and Informatics Comenius University 842 48 Bratislava, Slovak Republic Telephone: + 421-2-60295111 Fax: + 421-2-65425882 e-Mail: amuc@fmph.uniba.sk Internet: www.iam.fmph.uniba.sk/amuc © 2013, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE |