Generalized statistical convergence and some sequence spaces in 2-normed spaces

Cemal Belen; Mustafa Yildirim

Research Article

Generalized statistical convergence and some sequence spaces in 2-normed spaces

Year 2015, Volume: 44 Issue: 3, 513 - 519, 01.06.2015

Abstract

In this work, we first define the concepts of A-statistical convergence
and A
I
-statistical convergence in a 2-normed space and present an
example to show the importance of generalized form of convergence
through an ideal. We then introduce some new sequence spaces in a
2-Banach space and examine some inclusion relations between these
spaces.

Keywords

Statistical convergence, Ideal convergence, 2-normed space, Modulus function, Sequence space

References

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Year 2015, Volume: 44 Issue: 3, 513 - 519, 01.06.2015

Cemal Belen Mustafa Yildirim

Abstract

References

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There are 1 citations in total.

Details

Primary Language	English
Subjects	Mathematical Sciences
Journal Section	Mathematics
Authors	Cemal Belen Mustafa Yildirim
Publication Date	June 1, 2015
Published in Issue	Year 2015 Volume: 44 Issue: 3

Cite

APA	Belen, C., & Yildirim, M. (2015). Generalized statistical convergence and some sequence spaces in 2-normed spaces. Hacettepe Journal of Mathematics and Statistics, 44(3), 513-519.
AMA	Belen C, Yildirim M. Generalized statistical convergence and some sequence spaces in 2-normed spaces. Hacettepe Journal of Mathematics and Statistics. June 2015;44(3):513-519.
Chicago	Belen, Cemal, and Mustafa Yildirim. “Generalized Statistical Convergence and Some Sequence Spaces in 2-Normed Spaces”. Hacettepe Journal of Mathematics and Statistics 44, no. 3 (June 2015): 513-19.
EndNote	Belen C, Yildirim M (June 1, 2015) Generalized statistical convergence and some sequence spaces in 2-normed spaces. Hacettepe Journal of Mathematics and Statistics 44 3 513–519.
IEEE	C. Belen and M. Yildirim, “Generalized statistical convergence and some sequence spaces in 2-normed spaces”, Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 3, pp. 513–519, 2015.
ISNAD	Belen, Cemal - Yildirim, Mustafa. “Generalized Statistical Convergence and Some Sequence Spaces in 2-Normed Spaces”. Hacettepe Journal of Mathematics and Statistics 44/3 (June 2015), 513-519.
JAMA	Belen C, Yildirim M. Generalized statistical convergence and some sequence spaces in 2-normed spaces. Hacettepe Journal of Mathematics and Statistics. 2015;44:513–519.
MLA	Belen, Cemal and Mustafa Yildirim. “Generalized Statistical Convergence and Some Sequence Spaces in 2-Normed Spaces”. Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 3, 2015, pp. 513-9.
Vancouver	Belen C, Yildirim M. Generalized statistical convergence and some sequence spaces in 2-normed spaces. Hacettepe Journal of Mathematics and Statistics. 2015;44(3):513-9.