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Functional series on time scales

Dorota Mozyrska, Ewa Pawluszvicz


The purpose of this paper is to study the properties of functional series and polynomial series on time scales. We extend to any time scale the Cauchy condition for uniform convergence as well as the Weierstrass criterion. We show that functional series can be delta differentiated and integrated term by term. As a special case of functional series, polynomial series on time scales are studied.

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