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- Title
CESÀRO MEANS OF SUBSEQUENCES OF DOUBLE SEQUENCES.
- Authors
TAŞ, EMRE; ORHAN, CIHAN
- Abstract
In this paper we characterize the convergence and (C,1,1) summability of a double sequence. In particular we study conditions under which the convergence or (C,1,1) summability of a double sequence carry over to that of its subsequences, and conversely, whether these properties for suitable subsequences imply them for the sequence itself. We show, for instance, that a bounded double sequence is (C,1,1) summable if and only if almost all of its subsequences are (C,1,1) summable.
- Subjects
MATHEMATICS; NUMERICAL calculations; DIFFERENCE equations; STATISTICAL equilibrium; DYNAMICS
- Publication
Sarajevo Journal of Mathematics, 2019, Vol 15, Issue 2, p169
- ISSN
1840-0655
- Publication type
Article
- DOI
10.5644/SJM.15.02.03