Bayram SÖZBİR, Selma ALTUNDAĞ, Metin BASARIR

8975

On the $\Delta _{{\Lambda ^2}}^f$-Statistical Convergence on Product Time Scale

On the $\Delta _{{\Lambda ^2}}^f$-Statistical Convergence on Product Time Scale

In this paper, we first define a new density of a $\Delta $-measurable subset of a product time scale ${\Lambda ^2}$ with respect to an unbounded modulus function. Then, by using this definition, we introduce the concepts of $\Delta _{{\Lambda ^2}}^f$-statistical convergence and $\Delta _{{\Lambda ^2}}^f$-statistical Cauchy for a $\Delta $-measurable real-valued function defined on product time scale ${\Lambda ^2}$ and also obtain some results about these new concepts. Finally, we present the definition of strong $\Delta _{{\Lambda ^2}}^f$-Cesaro summability on ${\Lambda ^2}$ and investigate the connections between these new concepts.
Keywords:

Delta measure, Density, Modulus function Product time scale, Statistical convergence, Strong Cesaro summability,

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Universal Journal of Mathematics and Applications-Cover
  • ISSN: 2619-9653
  • Başlangıç: 2018
  • Yayıncı: Emrah Evren KARA
Arşiv
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