Two valued measure and some new double sequence spaces in 2-normed spaces

Das P., Savas E., Bhunia S.

Czechoslovak Mathematical Journal, cilt.61, sa.3, ss.809-825, 2011 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 61 Sayı: 3
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1007/s10587-011-0029-7
  • Dergi Adı: Czechoslovak Mathematical Journal
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.809-825
  • Anahtar Kelimeler: μ-statistical convergence, 2-norm, 2-normed space, condition (APO2), convergence, convergence in μ-density, Orlicz function, paranorm, paranormed space, sequence space
  • Uşak Üniversitesi Adresli: Hayır

Özet

The purpose of this paper is to introduce some new generalized double difference sequence spaces using summability with respect to a two valued measure and an Orlicz function in 2-normed spaces which have unique non-linear structure and to examine some of their properties. This approach has not been used in any context before. © 2011 Institute of Mathematics of the Academy of Sciences of the Czech Republic, Praha, Czech Republic.