Double Lacunary Statistical Convergence of Weight ν via Ideal in Topological Groups

SAVAŞ E.

5th International Conference on Mathematics and Computing, ICMC 2019, Bhubaneswar, India, 6 - 09 February 2020, vol.1170, pp.243-252, (Full Text) identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 1170
  • Doi Number: 10.1007/978-981-15-5411-7_19
  • City: Bhubaneswar
  • Country: India
  • Page Numbers: pp.243-252
  • Keywords: Double lacunary sequence, Double statistical convergence of weight, Topological groups
  • Uşak University Affiliated: Yes

Abstract

In (Savaş in Commun Math Appl 9(3):265–275, 2018 [34]), Savas has defined double statistical convergence of order α in topological groups. In this paper, we study the concepts of I-double statistical convergence of weight ν and Iθ-double statistical convergence of weight ν. Furthermore, we establish the relations between these concepts.