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This convergence analysis seems to be the first for a discrete smoothing spline with data perturbed by white noise. Numerical results are presented which verify our theoretical results and demonstrate our method on a large real life data set.<\/jats:p>","DOI":"10.1137\/s0036142901383296","type":"journal-article","created":{"date-parts":[[2003,6,11]],"date-time":"2003-06-11T11:12:06Z","timestamp":1055329926000},"page":"208-234","source":"Crossref","is-referenced-by-count":21,"title":["Approximation of a Thin Plate Spline Smoother Using Continuous Piecewise Polynomial Functions"],"prefix":"10.1137","volume":"41","author":[{"given":"Stephen","family":"Roberts","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Markus","family":"Hegland","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Irfan","family":"Altas","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2006,7,26]]},"reference":[{"key":"R1","volume-title":"Sobolev spaces","author":"Adams Robert","year":"1975"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1051\/m2an\/1987210405291"},{"key":"R3","unstructured":"R. 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