I-statistical limit points and I-statistical cluster points

• Malik, Prasanta ^[1] ; Ghosh, Argha ^[1] ; Das, Samiran ^[1]
  1. [1] University of Burdwan

     University of Burdwan

     India

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 38, Nº. 5, 2019, págs. 1011-1026
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • In this paper we have extended the notion of statistical limit point as introduced by Fridy[8] to I-statistical limit point of sequences of real numbers and studied some basic properties of the set of all Istatistical limit points and I-statistical cluster points of real sequences including their interrelationship. Also introducing additive property of I-asymptotic density zero sets we establish I-statistical analogue of some completeness theorems of R.