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Open Access Research Article

Absolute linear method of summation with weighted mean

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pp. 1417–1428Vol. 28Issue 4June 2025DOI: 10.47974/JIM-1919XML
Received:
10 Jan 2024
Published Online:
08 Mar 2025
Article type:
Research Article
Language:
EN
Article no.:
JIM-1919
Pages:
1417–1428

Abstract

The study uses a summability method is utilized to characterize the set (|R, pn, δ|k, |R, qn, δ|k) for k ≥ 1 and any arbitrary positive sequences (pn). Advanced results have been derived from previously established findings. This is significant because absolute summability is crucial for assessing the Bounded Input Bounded Output (BIBO) stability of systems. By imposing specific conditions on the main result, sufficient criteria for the summability of |R, pn|k and |C, 1|k have been established, reinforcing the relevance and application of this study. 

Keywords

Subject Classifications

46A4540D0940F05

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