Density by Moduli and Statistical Boundedness

Vinod K. Bhardwaj, Shweta Dhawan and Sandeep Gupta

Abstract and Applied Analysis, 2016, vol. 2016, 1-6

Abstract:

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

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:2143018

DOI: 10.1155/2016/2143018

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