On Δ-Uniform and Δ-Pointwise Convergence on Time Scale Zaman Skalası Üzerinde Δ-Düzgün ve Δ-Noktasal Yakınsaklık


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SEYYİDOĞLU M. S., Karadaş A.

Adiyaman University Journal of Science, cilt.10, sa.1, ss.218-225, 2020 (Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10 Sayı: 1
  • Basım Tarihi: 2020
  • Doi Numarası: 10.37094/adyujsci.546724
  • Dergi Adı: Adiyaman University Journal of Science
  • Derginin Tarandığı İndeksler: Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.218-225
  • Anahtar Kelimeler: Statistical convergence, Δ-Cauchy, Δ-Convergence
  • Uşak Üniversitesi Adresli: Evet

Özet

In this article, we define the concept of Δ-Cauchy, Δ-uniform convergence and Δ-pointwise convergence of a family of functions {f! }!∈J, where J is a time scale. We study the relationships between these notions. Moreover, we introduced sufficient conditions for interchangeability Δ-limitation with Riemann Δ-integration or Δ-differentiation. Also, we obtain the analogue of the well-known Dini's Theorem.