e-core of double sequences
Boos, Leiger and Zeller [ 1 , 2 ] defined the concept of e -convergence. In this paper we introduce the concepts of e-limit superior and inferior for real double sequences and prove some fundamental properties of e-limit superior and inferior. In addition to these results we define e-core for double...
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| Veröffentlicht in: | Acta mathematica Hungarica 2014-10, Vol.144 (1), p.236-246 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | Boos, Leiger and Zeller [
1
,
2
] defined the concept of
e
-convergence. In this paper we introduce the concepts of e-limit superior and inferior for real double sequences and prove some fundamental properties of e-limit superior and inferior. In addition to these results we define e-core for double sequences. Also, we show that that if
A
is a nonnegative
C
e
-regular matrix then the e-core of
Ax
is contained in e-core of
x
, provided that
Ax
exists. |
|---|---|
| ISSN: | 0236-5294 1588-2632 |
| DOI: | 10.1007/s10474-014-0447-8 |