On some new double sequence spaces defined by a modulus

Savaş E.

Applied Mathematics and Computation, cilt.187, sa.1 SPEC. ISS., ss.417-424, 2007 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 187 Sayı: 1 SPEC. ISS.
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1016/j.amc.2006.08.141
  • Dergi Adı: Applied Mathematics and Computation
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.417-424
  • Anahtar Kelimeler: Double sequences, Modulus functions, P-convergent
  • Uşak Üniversitesi Adresli: Hayır

Özet

In this paper our purpose is to extend some results known in the literature for ordinary (single) sequences to multiply sequences of real and complex numbers. This will be accomplished by presenting the following sequence spaces: {x ∈ s″ : P - limm, n ∑k, l = 0, 0 ∞, ∞ am, n, k, l f (| xσk (p), σl (q) |)pk, l = 0}, {Mathematical expression} and {Mathematical expression} where f is a modulus function, uniformly in (p, q) and A is a nonnegative RH-regular summability matrix method. In addition, we shall give double σ-statistical convergence. © 2006 Elsevier Inc. All rights reserved.