Lacunary statistical convergence and inclusion properties between lacunary methods

Jinlu Li

International Journal of Mathematics and Mathematical Sciences, 2000, vol. 23, 1-6

Abstract:

A lacunary sequence is an increasing integer sequence θ = { k r } such that k r − k r − 1 → ∞ as r → ∞ . A sequence x is called s θ -convergent to L provided that for each ϵ > 0 , lim r ( 1 / ( k r − k r − 1 ) ) { the number of k r − 1 < k ≤ k r : | x k − L | ≥ ϵ } = 0 . In this paper, we study the general description of inclusion between two arbitrary lacunary sequences convergent.

Date: 2000
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/23/352918.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/23/352918.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:352918

DOI: 10.1155/S0161171200001964

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().