Journal of applied mathematics & informatics

한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
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WIJSMAN ASYMPTOTICAL ${\mathcal{I}}_2$-LACUNARY STATISTICAL EQUIVALENCE OF ORDER 𝜂 FOR DOUBLE SET SEQUENCES

  • GULLE, ESRA (Department of Mathematics, Afyon Kocatepe University) ;
  • ULUSU, UGUR (Sivas Cumhuriyet University)
  • 투고 : 2020.12.08
  • 심사 : 2021.03.16
  • 발행 : 2022.01.30
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초록

In this paper, for double set sequences, as a new approach to the notion of Wijsman asymptotical lacunary statistical equivalence of order 𝜂, we introduce new concepts which are called Wijsman asymptotical ${\mathcal{I}}_2$-lacunary statistical equivalence of order 𝜂 and Wijsman asymptotical strong ${\mathcal{I}}_2$-lacunary equivalence of order 𝜂 where 0 < 𝜂 ≤ 1. Also, some properties of these new concepts are investigated, and the existence of some relations between these and some previously studied asymptotical equivalence concepts for double set sequences is examined.

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참고문헌

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