# Density by Moduli and Statistical Boundedness

@article{Bhardwaj2016DensityBM,
title={Density by Moduli and Statistical Boundedness},
author={Vinod Kumar Bhardwaj and Shweta Dhawan and Sandeep Gupta},
journal={Abstract and Applied Analysis},
year={2016},
volume={2016},
pages={1-6}
}
• Published 10 February 2016
• Mathematics
• Abstract and Applied Analysis
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.
12 Citations
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