LACUNARY I-2-INVARIANT CONVERGENCE AND SOME PROPERTIES
INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, cilt.16, ss.317-327, 2018 (ESCI)
- 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.