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- Title
Asymptotically double lacunry equivalent sequences defined by Orlicz functions.
- Authors
Esi, Ayhan
- Abstract
This paper presents the following definition which is natural combination of the definition for asymptotically equivalent and Orlicz function. The two nonnegative double sequences ϰ= (xk,l ) y=(yk,l) , = and ϰ =(y k, l γ) are said to be M-asymptotically double equivalent to multiple L provided that for everP-limk,lM(xk,l-L/yk,l/p)=0 for some p>0, (denoted by M x~y)and simply M-asymptotically double equivalent if L=1. Also we give some new concepts related to this definition and some inclusion theorems.
- Subjects
ORLICZ spaces; FUNCTION spaces; NUMERICAL analysis; MATHEMATICAL analysis; FUNCTIONAL analysis
- Publication
Acta Scientiarum: Technology, 2014, Vol 36, Issue 2, p323
- ISSN
1806-2563
- Publication type
Article
- DOI
10.4025/actascitechnol.v36i2.16391