Lacunary Statistical Equivalence of Order η for Double Sequences of Sets

ULUSU U.

Proceedings of the National Academy of Sciences India Section A - Physical Sciences, cilt.93, sa.2, ss.331-337, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 93 Sayı: 2
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1007/s40010-023-00818-y
  • Dergi Adı: Proceedings of the National Academy of Sciences India Section A - Physical Sciences
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC, zbMATH
  • Sayfa Sayıları: ss.331-337
  • Anahtar Kelimeler: Asymptotical equivalence, Statistical convergence, Double lacunary sequence, Order ?, Convergence in the Wijsman sense, Double set sequences
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

In this study, by introducing the concepts of asymptotical lacunary statistical and asymptotical strong p-lacunary equivalence of order η (0 < η≤ 1) in the Wijsman sense for double set sequences, some properties of these concepts are examined and also the relationship between these concepts is mentioned. Moreover, the relationships between these concepts and the asymptotical equivalence concepts previously given for double set sequences are investigated.