Name TOK, Metin BASARIR

15917

On the $\lambda _{h}^{\alpha }-$Statistical Convergence of the Functions Defined on the Time Scale

On the $\lambda _{h}^{\alpha }-$Statistical Convergence of the Functions Defined on the Time Scale

In this paper, we have introduced the concepts $\lambda _{h}^{\alpha }$% -density of a subset of the time scale $\mathbb{T}$ and $\lambda _{h}^{\alpha }$-statistical convergence of order $\alpha $ $(0<\alpha \leq 1) $ of $\Delta -$ measurable function $f$ \ defined on the time scale $% \mathbb{T}$ with the help of modulus function $h$ and $\lambda =(\lambda _{n})$ sequences. Later, we have discussed the connection between classical convergence, $\lambda $-statistical convergence and $\lambda _{h}^{\alpha }$% -statistical convergence. In addition, we have seen that $f$ is strongly $% \lambda _{h}^{\alpha }$-Cesaro summable on T then $f$ is $\lambda _{h}^{\alpha }$-statistical convergent of order $\alpha .$
Keywords:

delta-convergence, , statistical convergence, , density, , modulus function time scale, Cesaro summable,

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Proceedings of International Mathematical Sciences-Cover
  • ISSN: 2717-6355
  • Yayın Aralığı: Yılda 2 Sayı
  • Başlangıç: 2019
  • Yayıncı: İbrahim ÇANAK
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On the $\lambda _{h}^{\alpha }-$Statistical Convergence of the Functions Defined on the Time Scale

Name TOK, Metin BASARIR