A sequence space and uniform (A,φ)—statistical convergence

Savaş E.

2nd International Conference on Mathematics and Computing, ICMC 2015, Haldia, India, 5 - 10 January 2015, vol.139, pp.481-493, (Full Text) identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 139
  • Doi Number: 10.1007/978-81-322-2452-5_34
  • City: Haldia
  • Country: India
  • Page Numbers: pp.481-493
  • Keywords: Matrix transformations, Modulus function, Sequence spaces, Statistical convergence, λ—strong convergence, φ -function
  • Uşak University Affiliated: No

Abstract

In this, we introduce and study some properties of the new sequence space that is defined using the φ —function and de la Valée-Poussin mean. We also study some connections between Vλ((A, φ))—strong summability of sequences and λ—strong convergence with respect to a modulus.