On asymptotically iλ-statistical equivalent sequences of order α

Savaş E.

Indian Journal of Mathematics, cilt.56, sa.2, ss.197-207, 2014 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 56 Sayı: 2
  • Basım Tarihi: 2014
  • Dergi Adı: Indian Journal of Mathematics
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.197-207
  • Anahtar Kelimeler: I-statistical convergence, Statistical convergence of order α., 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 order a, where 0 < α < 1, I-statistically limit, and λ-statistical convergence. The two nonnegative sequences x = (xk) and y = (yk) are said to be asymptotically Iλ-statistical equivalent of order α to multiple L provided that for every ε > 0, and δ > 0, Equation presnted (denoted by Equation presented and simply asymptotically I λ-statistical equivalent of order α if L = 1. In addition, we shall also present some inclusion theorems. © 2014 Allahabad Mathematical Society asymptotical equivalent; ideal convergence;.