On i λ-statistical convergence of weight g

Savas E.

3rd International Conference on Analysis and Applied Mathematics, ICAAM 2016, Almaty, Kazakhstan, 7 - 10 September 2016, vol.1759, (Full Text) identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 1759
  • Doi Number: 10.1063/1.4959632
  • City: Almaty
  • Country: Kazakhstan
  • Keywords: Filter, I-statistical convergence of order g, Ideal, Iλ-statistical convergence
  • Uşak University Affiliated: No

Abstract

In this paper, following a very recent and new approach of [M. Balcerzak, P. Das, M. Filipczak, and J. Swaczyna, Acta Math. Hungar. 147, 97-115 (2015)], we further generalize the recently introduced summability method of [E. Savas, and P. Das, Appl. Math. Lett. 24, 826-830 (2011)] and introduce the new notion namely, Iλ -statistical convergence of weight g, where g: ℕ → [0, ∞) is a function satisfying g(n) → ∞ and g(n) → 0 as n → ∞. We mainly investigate certain properties of this convergence.