On i-statistically pre-cauchy sequences

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Küçük Resim

Tarih

2014

Dergi Başlığı

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Yayıncı

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

In this paper we continue our investigation of the recent summability notion of I-statistical convergence introduced in [8, 26] (where a new extension of the notion of natural density and statistical convergence was proposed using the notion of ideals of the set of positive integers N) and introduce the notion of I-statistically pre-Cauchy sequences in line of [3]. We mainly show that I-statistical convergence implies I-statistical pre-Cauchy condition and give certain sufficient conditions for the converse to be true.

Açıklama

Anahtar Kelimeler

Filter, I- natural density, I-limit inferior, I-statistical convergence, I-statistical pre-cauchy condition, Ideal

Kaynak

Taiwanese Journal of Mathematics

WoS Q Değeri

Q2

Scopus Q Değeri

Q3

Cilt

18

Sayı

1

Künye