<b>Asymptotically double lacunry equivalent sequences defined by Orlicz functions<b>

Autores

  • Ayhan Esi Adiyaman University

DOI:

https://doi.org/10.4025/actascitechnol.v36i2.16391

Palavras-chave:

asymptotically equivalence, double sequences, P-convergent, double lacunary sequence

Resumo

This paper presents the following definition which is natural combition of the definition for asymptotically equivalent and Orlicz function. The two nonnegative double sequences x=(x_{k,l}) and y=(y_{k,l}) are said to be M-asymptotically double equivalent to multiple L provided that for every ε>0, P-lim_{k,l}M(((|((x_{k,l})/(y_{k,l}))-L|)/Ï))=0, for some Ï>0, (denoted by 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.

 

 

 

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Biografia do Autor

Ayhan Esi, Adiyaman University

Mathematics

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Publicado

2014-04-04

Como Citar

Esi, A. (2014). <b>Asymptotically double lacunry equivalent sequences defined by Orlicz functions<b>. Acta Scientiarum. Technology, 36(2), 323–329. https://doi.org/10.4025/actascitechnol.v36i2.16391

Edição

Seção

Matemática

 

0.8
2019CiteScore
 
 
36th percentile
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0.8
2019CiteScore
 
 
36th percentile
Powered by  Scopus