Asymptotically J Iλ-statistical equivalent sequences of weight g

Savaş E.

3rd International Conference on Analysis and Applied Mathematics, ICAAM 2016, Almaty, Kazakistan, 7 - 10 Eylül 2016, cilt.1759 identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1759
  • Doi Numarası: 10.1063/1.4959709
  • Basıldığı Şehir: Almaty
  • Basıldığı Ülke: Kazakistan
  • Anahtar Kelimeler: Asymptotical equivalent, Ideal convergence, Statistical convergence, Statistical convergence of weight g, λ-statistical convergence
  • Uşak Üniversitesi Adresli: Hayır

Özet

This paper presents the following definition which is a natural combination of the definition for asymptotically equivalent of weight g, J-statistically limit, and λ - statistical convergence, where g:ℕ→[0,∞) is a function satisfying g (n) → ∞ and g(n) → 0. The two nonnegative sequences x = (xk) and y = (yk) are said to be asymptotically Jg-statistical equivalent of weight g to multiple L provided that for every ϵ > 0, and δ > 0, {nϵ ℕ: 1g(λn)|{kϵIn:|xkyk-L| ≥ϵ}| ≥δ }ϵJ, (denoted by x∼SλL(I)gy) and simply asymptotically Jg-statistical equivalent of weight g if L = 1. In addition, we shall also present some inclusion theorems.