LACUNARY I-2-INVARIANT CONVERGENCE AND SOME PROPERTIES

Ulusu U., Dundar E., Nuray F.

INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, cilt.16, ss.317-327, 2018 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 16
  • Basım Tarihi: 2018
  • Doi Numarası: 10.28924/2291-8639-16-2018-317
  • Dergi Adı: INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.317-327
  • Anahtar Kelimeler: double sequence, I-convergence, lacunary sequence, invariant convergence, I-Cauchy sequence, DOUBLE SEQUENCES, INVARIANT-MEANS
  • Sivas Cumhuriyet Üniversitesi Adresli: Hayır

Özet

In this paper, the concept of lacunary invariant uniform density of any subset A of the set NxN is defined. Associate with this, the concept of lacunary I-2-invariant convergence for double sequences is given. Also, we examine relationships between this new type convergence concept and the concepts of lacunary invariant convergence and p-strongly lacunary invariant convergence of double sequences. Finally, introducing lacunary I-2*-invariant convergence concept and lacunary I-2-invariant Cauchy concepts, we give the relationships among these concepts and relationships with lacunary I-2-invariant convergence concept.