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Density by Moduli and Statistical Boundedness

Author

Listed:
  • Vinod K. Bhardwaj
  • Shweta Dhawan
  • Sandeep Gupta

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.

Suggested Citation

  • Vinod K. Bhardwaj & Shweta Dhawan & Sandeep Gupta, 2016. "Density by Moduli and Statistical Boundedness," Abstract and Applied Analysis, John Wiley & Sons, vol. 2016(1).
    • Handle: RePEc:wly:jnlaaa:v:2016:y:2016:i:1:n:2143018
    DOI: 10.1155/2016/2143018
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    References listed on IDEAS

    as
    1. Karakus, S. & Demirci, K. & Duman, O., 2008. "Statistical convergence on intuitionistic fuzzy normed spaces," Chaos, Solitons & Fractals, Elsevier, vol. 35(4), pages 763-769.
    2. Vinod K. Bhardwaj & Indu Bala, 2007. "On Weak Statistical Convergence," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2007, pages 1-9, January.
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