Lacunary strongly (A, φ)I-convergent sequences defined by a modulus function

Gumus H., Savas E.

11th International Conference of Numerical Analysis and Applied Mathematics 2013, ICNAAM 2013, Rhodes, Greece, 21 - 27 September 2013, vol.1558, pp.774-779, (Full Text)

  • Publication Type: Conference Paper / Full Text
  • Volume: 1558
  • Doi Number: 10.1063/1.4825608
  • City: Rhodes
  • Country: Greece
  • Page Numbers: pp.774-779
  • Keywords: Lacunary sequence, ideal convergence, modulus function
  • İstanbul Ticaret University Affiliated: Yes

Abstract

In this paper we introduce and study some new sequences of lacunary strongly (A, )I-convergent sequences defined by a modulus function. They are defined using by a -function, a A=(ank) real matrix and an ideal I of positive integers. We define Nθ(A,f)I and S θ(A,)I spaces and study their relation. © 2013 AIP Publishing LLC.