Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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On Deferred f-statistical Convergence

  • Gupta, Sandeep (Department of Mathematics, Arya P. G. College) ;
  • Bhardwaj, Vinod K. (Department of Mathematics, Kurukshetra University)
  • Received : 2017.10.18
  • Accepted : 2018.03.09
  • Published : 2018.03.23
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Abstract

In this paper, we generalize the concept of deferred density to that of deferred f-density, where f is an unbounded modulus and introduce a new non-matrix convergence method, namely deferred f-statistical convergence or $S^f_{p,q}$-convergence. Apart from studying the $K{\ddot{o}}the$-Toeplitz duals of $S^f_{p,q}$, the space of deferred f-statistically convergent sequences, a decomposition theorem is also established. We also introduce a notion of strongly deferred $Ces{\grave{a}}ro$ summable sequences defined by modulus f and investigate the relationship between deferred f-statistical convergence and strongly deferred $Ces{\grave{a}}ro$ summable sequences defined by f.

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References

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