On ρ-statistical convergence in gradual normed linear spaces

Shyamal Debnath; Santonu Debnath; Chiranjib Choudhury

doi:10.14244/lajm.v5i1.94

Autores

Shyamal Debnath Tripura University https://orcid.org/0000-0003-2804-6564
Santonu Debnath Dhamma Dipa International Buddhist University https://orcid.org/0000-0002-4586-0691
Chiranjib Choudhury Tripura University https://orcid.org/0000-0002-5607-9884

DOI:

https://doi.org/10.14244/lajm.v5i1.94

Palavras-chave:

Statistical convergence, ρ-statistical convergence, gradual normed linear spaces, ρ-statistical boundedness

Resumo

In this article, we present the notion of $\rho$-statistical convergence in the context of gradual normed linear spaces and explore connections between statistical boundedness in gradual normed linear spaces and $\rho$-statistical boundedness. Additionally, we introduce the concept of $\rho$-statistical Cauchy sequences in gradual normed spaces and establish the correlation between gradual $\rho$-statistical convergence and gradual $\rho$-statistical Cauchy sequences.

Biografia do Autor

Shyamal Debnath, Tripura University

Professor, Dept of Mathematics

Santonu Debnath, Dhamma Dipa International Buddhist University

Assistant Professor

Dept. of Mathematics

Chiranjib Choudhury, Tripura University

Ph.D Student (Degree Awarded), Dept. of Mathematics

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