On asymptotically lacunary invariant statistical equivalent set sequences

Pancaroglu N., Nuray F., Savas E.

11th International Conference of Numerical Analysis and Applied Mathematics 2013, ICNAAM 2013, Rhodes, Greece, 21 - 27 September 2013, vol.1558, pp.780-781, (Full Text) identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 1558
  • Doi Number: 10.1063/1.4825609
  • City: Rhodes
  • Country: Greece
  • Page Numbers: pp.780-781
  • Keywords: Asymptotic equivalence, invariant statistical convergence Sequences of sets, Lacunary invariant statistical convergence Sequences of sets
  • Uşak University Affiliated: No

Abstract

In this paper, we define asymptotically invariant equivalence, strongly asymptotically invariant equivalence, asymptotically invariant statistical equivalence, asymptotically lacunary invariant statistical equivalence, strongly asymptotically lacunary invariant equivalence, asymptotically lacunary invariant equivalence (Wijsman sense) for sequences of sets. Also we investigate some relations between asymptotically lacunary invariant statistical equivalence and asymptotically invariant statistical equivalence for sequences of sets. We introduce some notions and theorems as follows, asymptotically lacunary invariant statistical equivalence, strongly asymptotically lacunary invariant equivalence, asymptotically lacunary invariant equivalence (Wijsman sense) for sequences of sets. © 2013 AIP Publishing LLC.