Variations on Quasi-Cauchy Sequences


Çakallı H.

Filomat, cilt.29, sa.1, ss.13-19, 2015 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 29 Sayı: 1
  • Basım Tarihi: 2015
  • Doi Numarası: 10.2298/fil1501013c
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.13-19
  • Anahtar Kelimeler: Compactness, Continuity, Real functions, Sequences, Series, Summability
  • Maltepe Üniversitesi Adresli: Evet

Özet

In this paper, we introduce and study new kinds of continuities. It turns out that a function f defined on an interval is uniformly continuous if and only if there exists a positive integer p such that f preserves p-quasi-Cauchy sequences where a sequence (xn) is called p-quasi-Cauchy if the sequence of differences between p-successive terms tends to 0.