Lacunary statistical convergence of double sequences and some inclusion results in n-normed spaces

Hazarika B., Savas E.

Acta Mathematica Vietnamica, cilt.38, sa.3, ss.471-485, 2013 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 38 Sayı: 3
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1007/s40306-013-0028-x
  • Dergi Adı: Acta Mathematica Vietnamica
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.471-485
  • Anahtar Kelimeler: Double lacunary sequence, n-norm, P-convergent, Statistical convergence
  • Uşak Üniversitesi Adresli: Hayır

Özet

In this paper, we introduce the concept of lacunary statistical convergence of double sequences in n-normed spaces. Some inclusion relations between the sets of statistically convergent and lacunary statistically convergent cases of double sequences are established. In addition, we also define lacunary statistical Cauchy double sequences and prove that this notion is equivalent to the lacunary statistical convergence of double sequences. © 2013 Institute of Mathematics, Vietnam Academy of Science and Technology (VAST) and Springer Science+Business Media Singapore.