About some properties of simple trigonometric splines
V.P. Denysiuk
TL;DR
This paper explores properties of simple trigonometric splines, establishing their key characteristics and linking them with polynomial splines to unify the theory of interpolation splines.
Contribution
It introduces a unified framework for simple polynomial and trigonometric interpolation splines, expanding the theoretical understanding of these methods.
Findings
Properties of simple trigonometric splines are characterized.
Results enable combining polynomial and trigonometric spline theories.
Theoretical foundation for a unified interpolation spline theory.
Abstract
The class the trigonometric interpolation splines depending on the parameter vectors, selected convergence factors and interpolation factors is considered. The main properties of simple interpolation trigonometric splines are given, which are also transferred to periodic simple interpolation polynomial splines. These results lead to the possibility of combining the theory of simple polynomial interpolation splines and the basics of the theory of simple trigonometric splines into a single theory - the theory of interpolation splines
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Taxonomy
TopicsAdvanced Computational Techniques in Science and Engineering · Advanced Numerical Analysis Techniques · Heat Transfer and Mathematical Modeling