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 İndekslerine Giren Dergi) identifier

  • Cilt numarası: 16
  • Basım Tarihi: 2018
  • Doi Numarası: 10.28924/2291-8639-16-2018-317
  • Dergi Adı: INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS
  • Sayfa Sayıları: ss.317-327

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.