I-statistically pre-Cauchy double sequences

Abstract

In the present paper we are concerned with I-statistically pre-Cauchy double sequences in line of of Das et al. [5]. Particularly, we prove that for double sequences, I-statistical convergence implies I-statistical pre-Cauchy condition and examine some main properties of these concepts.

Ideal Convergence of Complex Uncertain Sequences in 2-Normed Spaces Ula¸s Yamanci

“…More property and fact about ideal convergence and 2-normed space are contained, for instance, in Dündar and Altay [5], Gürdal [7], Mursaleen et al [21,22,23,24], Şahiner et al [26] and Yamanci et al [28,29]. Also, some results about the ideal convergence of functions in 2-normed space were obtain by authors [1,2,30,31].…”

Rough statistical convergence of double sequences in intuitionistic fuzzy normed spaces

“…Furthermore, Malik and Maity [7,8] have studied the concepts of rough convergence and rough statistical convergence of double sequences in normed linear spaces, respectively. Besides, many studies on these concepts have been conducted [9][10][11].…”

On I-statistically ϕ-convergence

“…The idea of I-convergence was further extended to I -statistical convergence by Savas and Das [19]. Later on more investigation in this direction was done by Savas and Das [20], Debnath and Debnath [3], Mursaleen et al [17], Et et al [6] and many others [10,11,27,28]. In [19], Savas and Das introduced the I-statistical convergence and I-λ-statistical convergence and the relation between them.…”