λ− Wijsman statistical convergence on time scales

Abstract

We construct $\lambda -$ Wijsman density and $\lambda -$ Wijsman statistical convergence (SC) on a time scale. Furthermore, strongly Wijsman ${\lambda }_p-$ summability is defined. Also, inclusion relations for sets of Wijsman statistical convergent sequences are given by considering the sequences ${\mu }_{{\Delta }_{\lambda (t)}}$ and ${\mu }_{{\Delta }_{\beta (t)}}$ in the classΛ on time scales. These theoretical parts are supported by some results and examples.

Keywords:

• Summability
• time scales
• statistical convergence

2020 MATHEMATICS SUBJECT CLASSIFICATION:

• 40A35
• 34N05
• 40G15

Acknowledgements

The authors would like to thank the editor and the referees for their useful comments and remarks.

Disclosure statement

The authors declare that they have no competing interests.

Authors’ contributions

Authors contributed equally in writing this article. Authors read and approved the final manuscript.