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...

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Bibliographic Details
Main Authors: Metin Basarır, Bayram Sözbir, Selma Altundağ
Format: Article
Language:English
Published: Emrah Evren KARA 2020-12-01
Series:Universal Journal of Mathematics and Applications
Subjects:
delta measure
density
modulus function
product time scale
statistical convergence
strong cesaro summability
Online Access:https://dergipark.org.tr/tr/download/article-file/1123126
Description
Summary: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.
ISSN:2619-9653

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