Rough statistical convergence on triple sequences

In this paper, using the concept of natural density, we introduce the notion of rough statistical convergence of triple sequences. We define the set of rough statistical limit points of a triple sequence and obtain rough statistical convergence criteria associated with this set. Later, we prove this set is closed and convex and also examine the relations between the set of rough statistical cluster points and the set of rough statistical limit points of a triple sequence.

Authors

Institutions

Publication Details

Journal
Proyecciones (Antofagasta)
Published
2025-04-16
DOI
https://doi.org/10.22199/issn.0717-6279-2542
Primary Topic
Approximation Theory and Sequence Spaces
Type
article
Field-Weighted Citation Impact
0.00

Funders

Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Rough statistical convergence on triple sequences

Shyamal Debnath, N. Subramanian
Proyecciones (Antofagasta)
Approximation Theory and Sequence Spaces
article

Rough statistical convergence on triple sequences

Shyamal Debnath, N. Subramanian
article en

Abstract

In this paper, using the concept of natural density, we introduce the notion of rough statistical convergence of triple sequences. We define the set of rough statistical limit points of a triple sequence and obtain rough statistical convergence criteria associated with this set. Later, we prove this set is closed and convex and also examine the relations between the set of rough statistical cluster points and the set of rough statistical limit points of a triple sequence.

Proyecciones (Antofagasta)Vol. 36(4)
Tripura University (IN), SASTRA University (IN)
Indian National Science Academy
Openalex Percentile: Top 92%
Approximation Theory and Sequence Spaces
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.