Kyungpook Mathematical Journal

  • 제55권2호
  • /
  • Pages.355-372
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  • 2015
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  • 1225-6951(pISSN)
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  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
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On the Fibonacci Almost Convergent Sequence Space and Fibonacci Core

  • 투고 : 2013.12.22
  • 심사 : 2014.05.01
  • 발행 : 2015.06.23
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초록

In the present paper, by using the Fibonacci difference matrix, we introduce the almost convergent sequence space $\hat{c}^f$. Also, we show that the spaces $\hat{c}^f$and $\hat{c}$ are linearly isomorphic. Further, we determine the ${\beta}$-dual of the space $\hat{c}^f$ and characterize some matrix classses on this space. Finally, Fibonacci core of a complex-valued sequence has been introduced, and we prove some inclusion theorems related to this new type of core.

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피인용 문헌

  1. Fibonacci statistical convergence and Korovkin type approximation theorems vol.2017, pp.1, 2017, https://doi.org/10.1186/s13660-017-1503-z
  2. ) derived by using matrix of Fibonacci numbers pp.1563-5139, 2019, https://doi.org/10.1080/03081087.2019.1571006