International Journal of Mathematics and Mathematical Sciences
Volume 6 (1983), Issue 3, Pages 503-510
doi:10.1155/S0161171283000459
Infinite matrices and absolute almost convergence
Department of Mathematics, Aligarh Muslim University, Aligarh 202001, India
Received 26 January 1981; Revised 16 August 1982
Copyright © 1983 Mursaleen. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
In 1973, Stieglitz [5] introduced a notion of FB-Convergence which provided a wide generalization of the classical idea of almost convergence due to Lorentz [1]. The concept of strong almost convergence was introduced by Maddox [3] who later on generalized this concept analogous to Stieglitz's extension of almost convergence [4]. In the present paper we define absolute FB-Convergence which naturally emerges from the concept of FB-Convergence.