Journal Name:
- Karaelmas Fen ve Mühendislik Dergisi
| Author Name | University of Author | Faculty of Author |
|---|---|---|
Abstract (2. Language):
In this paper we introduce the concept of Lacunary A
_
Summability. We also give the relations between these summability and
Lacunary A
_
statistical Summability. Following the concept of statistical A
_
limit superior and inferior, we give a definition of
Lacunary A
_
limit superior and inferior which yields natural relationships among these ideas: x is Lacunary A-convergent if
and only if L
θ
(A)
_ lim
(n→∞)
supx=L
θ
(A)
_ lim
(n→∞)
infx. Lacunary A
_
core of x is also introduced and it is proved that a bounded
sequence that A
_
summable to its Lacunary A
_
limit superior is Lacunary A-convergent
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