Relative Alpha Convergence and Its Applications in Approximation Theory

Alper Erdem and Sevda Yıldız

Journal of Mathematics, 2026, vol. 2026, 1-10

Abstract: In this paper, we introduce refined notions related to convergence for sequences of functions. These include relative alpha convergence and relative continuity at a point with respect to a scale function, as localized and strict parametric variants of classical alpha convergence. Furthermore, using these new concepts, we investigate their properties and relationships among these different notions. Lastly, we give a Korovkin-type theorem for relative alpha convergence; it will be observed that the conditions in the classical Korovkin theorem can be effectively extended.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:9645356

DOI: 10.1155/jom/9645356

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