Density by Moduli and Statistical Boundedness

Vinod K. Bhardwaj, Shweta Dhawan and Sandeep Gupta

Abstract and Applied Analysis, 2016, vol. 2016, issue 1

Abstract: We have generalized the notion of statistical boundedness by introducing the concept of f‐statistical boundedness for scalar sequences where f is an unbounded modulus. It is shown that bounded sequences are precisely those sequences which are f‐statistically bounded for every unbounded modulus f. A decomposition theorem for f‐statistical convergence for vector valued sequences and a structure theorem for f‐statistical boundedness have also been established.

Date: 2016
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2016/2143018

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:wly:jnlaaa:v:2016:y:2016:i:1:n:2143018

Access Statistics for this article

More articles in Abstract and Applied Analysis from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().