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

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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