Abel statistical delta quasi Cauchy sequences

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Taylan I., Cakalli H.

International Conference of Mathematical Sciences 2018, ICMS 2018, İstanbul, Türkiye, 31 Temmuz - 06 Ağustos 2018, cilt.2086, (Tam Metin Bildiri)

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 2086
  • Doi Numarası: 10.1063/1.5095128
  • Basıldığı Şehir: İstanbul
  • Basıldığı Ülke: Türkiye
  • Anahtar Kelimeler: compactness, continuity., Sequences, series, summability
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Maltepe Üniversitesi Adresli: Evet

Özet

In this paper, we investigate the concept of Abel statistical delta quasi Cauchy sequences. A real function f is called Abel statistically delta ward continuous it preserves Abel statistical delta quasi Cauchy sequences, where a sequence (α k ) of point in R is called Abel statistically delta quasi Cauchy if limx→1-(1-x)?k:|Δ2αk|≥ϵxk=0 for every ϵ > 0, where Δ2αk=αk+2-2ak+1+αk for every k ? N. Some other types of continuities are also studied and interesting results are obtained.