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

Authors : Cemal BELEN, Mustafa YİLDİRİM

Pages : 513-519

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Publication Date : 2015-06-01

Article Type : Research Paper

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