Quasi D-Limits Of Bounded Sequences And Regular Matrices

Sakambari Mishra · Communications on Applied Nonlinear Analysis · 2025

In this paper, we explore the concept of quasi-D-limits for bounded sequences through the nonnegative regular matrix transformation D. Quasi D-limits extend spaces of D-limits notions, providing a framework to analyse the convergence properties of sequences that exhibit specific bounded behaviour. We establish criteria for quasi-D-limits, demonstrate their existence via regular matrix transformations, and apply these results to various mathematical and applied contexts.

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