{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,4]],"date-time":"2024-09-04T18:22:27Z","timestamp":1725474147890},"publisher-location":"Berlin, Heidelberg","reference-count":15,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540080695"},{"type":"electronic","value":"9783540374961"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[1977]]},"DOI":"10.1007\/bfb0086575","type":"book-chapter","created":{"date-parts":[[2006,11,24]],"date-time":"2006-11-24T08:38:09Z","timestamp":1164357489000},"page":"196-211","source":"Crossref","is-referenced-by-count":0,"title":["Error bounds for bivariate spline interpolation"],"prefix":"10.1007","author":[{"given":"W.","family":"Sch\u00e4fer","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"W.","family":"Schempp","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2006,10,2]]},"reference":[{"key":"16_CR1","doi-asserted-by":"crossref","unstructured":"J.M. BEREZANSKIJ, \"Expansions in Eigenfunctions of Self-adjoint Operators\", American Mathematical Society, Providence, R.I. 1968.","DOI":"10.1090\/mmono\/017"},{"key":"16_CR2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-46066-1","volume-title":"Semi Groups of Operators and Approximation","author":"P.L. Butzer","year":"1967","unstructured":"P.L. BUTZER, H. BERENS, \"Semi Groups of Operators and Approximation\", Springer Verlag, Berlin-Heidelberg-New York 1967."},{"key":"16_CR3","volume-title":"Interpolation and Approximation","author":"P.J. Davis","year":"1965","unstructured":"P.J. DAVIS, \"Interpolation and Approximation\", Blaisdell, New York 1965."},{"key":"16_CR4","doi-asserted-by":"publisher","first-page":"209","DOI":"10.1016\/0021-9045(75)90103-3","volume":"15","author":"F.-J. Delvos","year":"1975","unstructured":"F.-J. DELVOS, On surface interpolation, J. Approximation Theory 15 (1975), 209\u2013213.","journal-title":"J. Approximation Theory"},{"key":"16_CR5","first-page":"T234","volume":"55","author":"F.-J. Delvos","year":"1975","unstructured":"F.-J. DELVOS, optimale Interpolation mit der Methode von Ritz, Z. Angew. Math. Mech. 55 (1975), T234\u2013T235.","journal-title":"Z. Angew. Math. Mech."},{"key":"16_CR6","unstructured":"F.-J. DELVOS, H.-W. K\u00d6STERS, Zur Konstruktion von Splines h\u00f6heren Grades, to appear."},{"key":"16_CR7","doi-asserted-by":"publisher","first-page":"399","DOI":"10.1016\/0021-9045(75)90059-3","volume":"14","author":"F.-J. Delvos","year":"1975","unstructured":"F.-J. DELVOS, W. SCHEMPP, Sard's method and the theory of spline systems, J. Approximation Theory 14 (1975), 399\u2013409.","journal-title":"J. Approximation Theory"},{"key":"16_CR8","doi-asserted-by":"publisher","first-page":"80","DOI":"10.1007\/BFb0079741","volume":"501","author":"F.-J. Delvos","year":"1976","unstructured":"F.-J. DELVOS, W. SCHEMPP, An extension of Sard's method, in \"Spline functions, Karlsruhe 1975\" (eds.: K. B\u00f6hmer, G. Meinardus, W. Schempp), Lecture Notes in Mathematics 501 (1976), 80\u201391.","journal-title":"Lecture Notes in Mathematics"},{"key":"16_CR9","first-page":"59","volume-title":"Spline-Funktionen. Vortr\u00e4ge und Aufs\u00e4tze","author":"F.-J. Delvos","year":"1974","unstructured":"F.-J. DELVOS, K.H. SCHLOSSER, Das Tensorproduktschema von Spline Systemen, in \"Spline-Funktionen. Vortr\u00e4ge und Aufs\u00e4tze\" (eds.: K. B\u00f6hmer, G. Meinardus, W. Schempp), Bibliographisches Institut, Mannheim-Wien-Z\u00fcrich 1974, 59\u201373."},{"key":"16_CR10","doi-asserted-by":"publisher","first-page":"158","DOI":"10.1137\/0708019","volume":"8","author":"W. Gordon","year":"1971","unstructured":"W. GORDON, Blending-Function Methods of Bivariate and Multivariate Interpolation and Approximation, SIAM J. Num. Anal. 8 (1971), 158\u2013177.","journal-title":"SIAM J. Num. Anal."},{"key":"16_CR11","doi-asserted-by":"publisher","first-page":"295","DOI":"10.1016\/0021-9045(71)90018-9","volume":"4","author":"G.W. Hedstrom","year":"1971","unstructured":"G.W. HEDSTROM, R.S. VARGA, Application of Besov Spaces to Spline Approximation, J. Approximation Theory 4 (1971), 295\u2013327.","journal-title":"J. Approximation Theory"},{"key":"16_CR12","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-94848-0","volume-title":"Hilbertsche R\u00e4ume mit Kernfunktion","author":"H. Meschkowski","year":"1962","unstructured":"H. MESCHKOWSKI, \"Hilbertsche R\u00e4ume mit Kernfunktion\", Springer Verlag, Berlin-G\u00f6ttingen-Heidelberg 1962."},{"key":"16_CR13","doi-asserted-by":"publisher","first-page":"222","DOI":"10.1016\/0022-1236(67)90033-X","volume":"1","author":"A. Sard","year":"1967","unstructured":"A. SARD, Optimal approximation, J. Functional Analysis 1 (1967), 222\u2013244; 2 (1968), 368\u2013369.","journal-title":"J. Functional Analysis"},{"key":"16_CR14","doi-asserted-by":"publisher","first-page":"226","DOI":"10.1007\/BFb0079751","volume":"501","author":"W. Sch\u00e4fer","year":"1976","unstructured":"W. SCH\u00c4FER, W. SCHEMPP, Splineapproximation in intermedi\u00e4ren R\u00e4umen, in \"Spline functions, Karlsruhe 1975\" (eds.: K. B\u00f6hmer, G. Meinardus, W. Schempp), Lecture Notes in Mathematics 501 (1976), 226\u2013246.","journal-title":"Lecture Notes in Mathematics"},{"key":"16_CR15","doi-asserted-by":"publisher","first-page":"345","DOI":"10.1007\/BF02162033","volume":"10","author":"M.H. Schultz","year":"1967","unstructured":"M.H. SCHULTZ, R.S. VARGA, L-Splines, Numer. Math. 10 (1967), 345\u2013369.","journal-title":"Numer. Math."}],"container-title":["Lecture Notes in Mathematics","Constructive Theory of Functions of Several Variables"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BFb0086575","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2018,10,8]],"date-time":"2018-10-08T17:08:10Z","timestamp":1539018490000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BFb0086575"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1977]]},"ISBN":["9783540080695","9783540374961"],"references-count":15,"URL":"https:\/\/doi.org\/10.1007\/bfb0086575","relation":{},"ISSN":["0075-8434","1617-9692"],"issn-type":[{"type":"print","value":"0075-8434"},{"type":"electronic","value":"1617-9692"}],"subject":[],"published":{"date-parts":[[1977]]}}}