Periodic Spline Interpolation on Uniform Meshes

✍ Scribed by Uwe Szyszka

• Publisher: John Wiley and Sons
• Year: 1991
• Tongue: English
• Weight: 454 KB
• Volume: 153
• Category: Article
• ISSN: 0025-584X
• DOI: 10.1002/mana.19911530111

✦ Synopsis

We examine the interpolation with periodic polynomial splines of degree d and defect r (d 2 r) on equidistant partitions of the real axis and generalize known results for r = 0. We prove necessary and sufkient conditions for the existence and a certain L2-stability of the interpolants as well as their approximation properties in the scale of the periodic SOBOLEV spaces.