What does this research mean for the field?

New sequence spaces can be constructed using summability factors of absolute weighted means, possessing distinct algebraic and topological structures and specific matrix transformation properties. Novelty: ClaimNovelty.METHODOLOGICAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

The aim is to construct new sequence spaces using summability factors from absolute weighted means and examine their properties.

June 14, 2026Mathematical Sciences and Applications E-Notes0 citationsOpen Access

Sequence Spaces Produced by Absolute Summability Factors

MSMehmet Ali SarıgölPamukkale University FGFadime GökçePamukkale University

Key Points

The aim is to construct new sequence spaces using summability factors from absolute weighted means and examine their properties.
Developed new sequence spaces based on absolute summability factors
Analyzed algebraic and topological structures
Investigated matrix transformations on these spaces
Identified unique algebraic properties of the new sequence spaces
Demonstrated significant topological characteristics
Revealed the effectiveness of matrix transformations on these spaces

Abstract

Recently, numerous sequence spaces have been defined and studied by variousauthors using matrix domains of special matrices. In the present paper, adoptinga different approach, new sequence spaces are constructed using summabilityfactors of absolute weighted means, and their algebraic and topologicalstructures are analyzed. Additionally, matrix transformations on these spaces are thoroughly examined.

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