Interpolation by Complex Splines

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1978Publisher:JSTORJournal:Transactions of the American Mathematical Society, volume 243, page 213 (issn: 0002-9947,

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Authors: Tzimbalario, J.;

doi: 10.2307/1997763 , 10.1090/s0002-9947-1978-0502903-9

Interpolation by Complex Splines

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Abstract

In this paper we solve the problem of interpolation by certain class of cardinal complex splines. This solution is used to complete the study of cardinal trigonometric splines started in [10] and also to give shorter proofs and to complete the results found for the interpolation problem by complex splines over the unit circle by I. J. Schoenberg [9], J. H. Ahlberg, E. N. Nilson and J. L. Walsh [1].

Keywords

Spline approximation, Interpolation By Complex Splines, Interpolation in approximation theory

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