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Some further results on -Cauchy sequences and condition (AP)

✍ Scribed by Pratulananda Das; Sanjoy Kr. Ghosal

Book ID
104008785
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
274 KB
Volume
59
Category
Article
ISSN
0898-1221

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✦ Synopsis

In this paper we provide answers to two important questions regarding I and I * -Cauchy sequences introduced and studied by Nabiev et al. (2007) [9] which were left unanswered. We then introduce the ideas of I and I * -divergent sequences in a metric space and study their certain properties. Our investigation strengthens and reconfirms importance of condition (AP) in the study of summability through ideals.

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✍ Feng LΓΌ; Hongxun Yi; Junfeng Xu πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 810 KB

Using the notion of weighted sharing of values we prove two uniqueness theorems which improve the results proved by T.C. Alzahary [T.C. Alzahary, Weighted sharing three values and Brosch's theorem.