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, vol.10, no.1, pp.218-225, 2020 (Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 10 Issue: 1
  • Publication Date: 2020
  • Doi Number: 10.37094/adyujsci.546724
  • Journal Name: Adiyaman University Journal of Science
  • Journal Indexes: Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.218-225
  • Keywords: Statistical convergence, Δ-Cauchy, Δ-Convergence
  • Uşak University Affiliated: Yes

Abstract

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.