On the Lacunary (A, φ)-Statistical Convergence of Double Sequences

SAVAŞ E.

Ukrainian Mathematical Journal, cilt.70, sa.6, ss.980-989, 2018 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 70 Sayı: 6
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1007/s11253-018-1545-5
  • Dergi Adı: Ukrainian Mathematical Journal
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.980-989
  • Uşak Üniversitesi Adresli: Evet

Özet

We extend some results known from the literature for ordinary (single) sequences to multiple sequences of real numbers. Further, we introduce a concept of double lacunary strong (A, φ) -convergence with respect to a modulus function. In addition, we also study some relationships between double lacunary strong (A, φ) -convergence with respect to a modulus and double lacunary statistical convergence.