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

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

Cemal Belen , Mustafa Yildirim

https://izlik.org/JA83DJ53ZW

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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