On some double sequence spaces of interval number.

• Gölbol, Sibel Yasemin ^[1] ; Esi, Ayhan ^[2] ; Değer, Uğur ^[1]
  1. [1] Mersin University

     Mersin University

     Turquía

     
  2. [2] Adıyaman University

     Adıyaman University

     Turquía

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 37, Nº. 3, 2018, págs. 535-546
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • Esi and Yasemin defined the metric spaces  , ,  , and  lp(f, p, s) of sequences of interval numbers by a modulus function. In this study, we consider a generalization for double sequences of these metric spaces by taking a ψ function, satisfying the following conditions, instead of s parameter. For this aim, let ψ(k, l) be a positive function for all k, l ∈ N such that (i)  (ii)  or ψ(k, l) = 1.

    Therefore, according to class of functions which satisfying the conditions (i) and (ii) we deal with the metric spaces   and  of double sequences of interval numbers defined by a modulus function.