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Keywords = absolute q-Cesàro summability

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17 pages, 661 KB  
Article
On Absolute q-Cesàro Summability Methods for Double Sequences
by Fadime Gökçe
Mathematics 2026, 14(5), 923; https://doi.org/10.3390/math14050923 - 9 Mar 2026
Cited by 1 | Viewed by 471
Abstract
In the present paper, a novel absolute summability method, denoted by |Cq,θ|s, is introduced for double sequences via the q-Cesàro matrix. The study also focuses on determining the necessary and sufficient conditions for various inclusion [...] Read more.
In the present paper, a novel absolute summability method, denoted by |Cq,θ|s, is introduced for double sequences via the q-Cesàro matrix. The study also focuses on determining the necessary and sufficient conditions for various inclusion relations, as well as comparing this method with existing absolute summability methods. In particular, the implications |Cp,ϕ||Cq,θ|s, |Cq,θ|s|Cp,ϕ|, and |Cp,ϕ|s|Cq,θ|s are fully characterized. The obtained results extend known summability frameworks for double series and highlight the role of q-analogues in providing a flexible and unifying approach to absolute summability theory. Full article
(This article belongs to the Topic Functional Equations: Methods and Applications)
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