Wijsman asymptotic lacunary I-2-invariant equivalence for double set sequences

ULUSU U., DÜNDAR E., Akin N. P.

SOFT COMPUTING, vol.25, no.22, pp.13805-13811, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 25 Issue: 22
  • Publication Date: 2021
  • Doi Number: 10.1007/s00500-021-06195-1
  • Journal Name: SOFT COMPUTING
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Compendex, Computer & Applied Sciences, INSPEC, zbMATH
  • Page Numbers: pp.13805-13811
  • Keywords: Wijsman convergence, Asymptotic equivalence, Double lacunary sequence, I-convergence, Invariant convergence, Double set sequences, STATISTICAL CONVERGENCE, SIGMA-CONVERGENCE, CONES
  • Sivas Cumhuriyet University Affiliated: Yes

Abstract

In this study, for double set sequences, we present the notions ofWijsman asymptotic lacunary invariant equivalence, Wijsman asymptotic lacunary I-2-invariant equivalence andWijsman asymptotic lacunary I*(2) -invariant equivalence. Also, we examine the relations between these notions and Wijsman asymptotic lacunary invariant statistical equivalence studied in this field before.