Trigonometric splines and some of their properties
Vldimir Denysiuk
TL;DR
This paper introduces a class of trigonometric interpolation splines with adjustable parameters, discusses their properties, and illustrates their application through a numerical example, expanding understanding of spline interpolation techniques.
Contribution
It presents a new class of trigonometric splines with variable parameters, introduces the concepts of crosslink and interpolation grids, and analyzes their properties.
Findings
Parseval equality is established for the splines
Properties of the introduced splines are discussed
Numerical example illustrates the application
Abstract
A class of trigonometric interpolation splines depending on parameter vectors, selected convergence factors and interpolation factors is considered. The concept of crosslink grids and interpolation grids is introduced; these grids can match or y not match. Parseval equality is given and some properties of splines are discussed. The material is illustrated by a numerical example.
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Taxonomy
TopicsAdvanced Numerical Analysis Techniques · Iterative Methods for Nonlinear Equations · Statistical and numerical algorithms