On interpolation and extremal properties of periodic perfect splines
V. F. Babenko, O. V. Kovalenko
TL;DR
This paper investigates the interpolation and extremal properties of periodic perfect splines, establishing their theoretical characteristics and extremal behavior in the context of mean interpolation.
Contribution
It provides new proofs of the existing extremal properties of periodic perfect splines and explores their interpolation capabilities in the mean.
Findings
Proved extremal properties of periodic perfect splines
Established interpolation in the mean for these splines
Enhanced understanding of their theoretical behavior
Abstract
Existing and extremal property of periodic perfect spline, which interpolates given function in the mean were proved.
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Taxonomy
TopicsAdvanced Numerical Analysis Techniques · Mathematical Approximation and Integration · Iterative Methods for Nonlinear Equations