Smoothest interpolation with boundary conditions in $W^3_2[a,b]$

Velina Ivanova; Rumen Uluchev

doi:10.60063/gsu.fmi.106.153-174

Smoothest interpolation with boundary conditions in $W^3_2[a,b]$

Authors

Velina Ivanova
Rumen Uluchev https://orcid.org/0000-0002-9122-7088

DOI:

https://doi.org/10.60063/gsu.fmi.106.153-174

Keywords:

Birkhoff interpolation, Smoothest interpolation, splines

Abstract

We study the problem on the smoothest interpolant with boundary conditions in the Sobolev space $W^3_2[a,b]$. Characterization and uniqueness of the best interpolant with free knots of interpolation, satisfying boundary conditions, are proved. Based on our proofs we present an algorithm for finding the unique oscillating spline interpolant. Numerical results are given.

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Published

2019-12-12

How to Cite

Ivanova, V., & Uluchev, R. (2019). Smoothest interpolation with boundary conditions in $W^3_2[a,b]$. Ann. Sofia Univ. Fac. Math. And Inf., 106, 153–174. https://doi.org/10.60063/gsu.fmi.106.153-174