Beyond the quasi-Cauchy sequences beyond the Cauchy sequences

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Tarih

2016

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

AMER INST PHYSICS

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Araştırma projeleri

Organizasyon Birimleri

Dergi sayısı

Özet

In this paper, we investigate the concept of upward continuity. A real valued function on a subset E of R, the set of real numbers is upward continuous if it preserves upward quasi Cauchy sequences in E, where a sequence (x(k)) of points in R is called upward quasi Cauchy if for every epsilon > 0 there exists a positive integer no such that x(n)-x(n+1) < epsilon for n >= n(0). It turns out that the set of upward continuous functions is a proper subset of the set of continuous functions.

Açıklama

3rd International Conference on Analysis and Applied Mathematics (ICAAM) -- SEP 07-10, 2016 -- Almaty, KAZAKHSTAN

Anahtar Kelimeler

Sequences, Series, Summability, Continuity

Kaynak

INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2016)

WoS Q Değeri

N/A

Scopus Q Değeri

Cilt

1759

Sayı

Künye