학술논문

On Deferred f−statistical Convergence
Document Type
Article
Source
Kyungpook Mathematical Journal, 58(1), pp.91-103 Mar, 2018
Subject
수학
Language
English
ISSN
0454-8124
1225-6951
Abstract
In this paper, we generalize the concept of deferred density to that of deferredf􀀀density, where f is an unbounded modulus and introduce a new non-matrix convergencemethod, namely deferred f-statistical convergence or S_{p, q}^f-convergence. Apartfrom studying the Kothe-Toeplitz duals of S_{p, q}^f, the space of deferred f-statistically convergentsequences, a decomposition theorem is also established. We also introduce a notionof strongly deferred Ces aro summable sequences de ned by modulus f and investigatethe relationship between deferred f-statistical convergence and strongly deferred Ces arosummable sequences de ned by f.