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The aim is to introduce αβ-statistical convergence and αβ-strongly summability for multiset sequences.

March 15, 2026FilomatOpen Access

A concept of αβ-statistical convergence of multiset sequence

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The aim is to introduce αβ-statistical convergence and αβ-strongly summability for multiset sequences.
Definition of αβ-statistical convergence and αβ-strongly summability for multiset sequences.
Exploration of the relationship between these two concepts with examples.
Introduction of statistical limit superior and inferior based on α density.
Introduced αβ-statistical convergence which generalizes existing convergence notions.
Demonstrated improved results over previous studies regarding multiset sequences.
Present examples showing the application of the new concepts.

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Demonstrates statistical convergence in multiset sequences, suggesting improved understanding of density concepts.

Som et al. (2025) studied this question.

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