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Density by Moduli and Statistical Boundedness

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  • Vinod K. Bhardwaj
  • Shweta Dhawan
  • Sandeep Gupta

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.

Suggested Citation

  • Vinod K. Bhardwaj & Shweta Dhawan & Sandeep Gupta, 2016. "Density by Moduli and Statistical Boundedness," Abstract and Applied Analysis, Hindawi, vol. 2016, pages 1-6, February.
    • Handle: RePEc:hin:jnlaaa:2143018
    DOI: 10.1155/2016/2143018
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