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arXiv · 1611.08683

Density by moduli and Wijsman statistical convergence

Vinod K. Bhardwaj·Shweta Dhawan·Oleksiy A. Dovgoshey
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Abstract

In this paper, we generalized the Wijsman statistical convergence of closed sets in metric space by introducing the $f$-Wijsman statistical convergence these of sets, where $f$ is an unbounded modulus. It is shown that the Wijsman convergent sequences are precisely those sequences which are $f$-Wijsman statistically convergent for every unbounded modulus $f$. We also introduced a new concept of Wijsman strong Ces\`{a}ro summability with respect to a modulus, and investigate the relationships between the $f$-Wijsman statistically convergent sequences and the Wijsman strongly Ces\`{a}ro summable sequences with respect to $f$.

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Vinod K. Bhardwaj, Shweta Dhawan, Oleksiy A. Dovgoshey. 2016-11-26. Density by moduli and Wijsman statistical convergence. https://arxiv.org/abs/1611.08683

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