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}
}
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. 
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