{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,16]],"date-time":"2025-05-16T23:27:15Z","timestamp":1747438035766},"reference-count":14,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[1995,5,1]],"date-time":"1995-05-01T00:00:00Z","timestamp":799286400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Adv Comput Math"],"published-print":{"date-parts":[[1995,5]]},"DOI":"10.1007\/bf03028368","type":"journal-article","created":{"date-parts":[[2009,2,3]],"date-time":"2009-02-03T09:46:40Z","timestamp":1233654400000},"page":"353-367","source":"Crossref","is-referenced-by-count":6,"title":["A generalization of de Boor\u2019s stability result and symmetric preconditioning"],"prefix":"10.1007","volume":"3","author":[{"given":"K.","family":"Jetter","sequence":"first","affiliation":[]},{"given":"J.","family":"St\u00f6ckler","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"BF03028368_CR1","unstructured":"[1]M. Abramowitz and I.A. Stegun,Pocketbook of Mathematical Functions (Harri Deutsch, Thun, 1984)."},{"key":"BF03028368_CR2","first-page":"401","volume":"8","author":"K. Ball","year":"1992","unstructured":"[2]K. Ball, N. Sivakumar and J.D. Ward, On the sensitivity of radial basis interpolation to minimal data separation distance, Constr. Approx. 8 (1992) 401\u2013426.","journal-title":"Constr."},{"key":"BF03028368_CR3","first-page":"269","volume-title":"Approximation Theory","author":"C. de Boor","year":"1973","unstructured":"[3]C. de Boor, The quasi-interpolant as a tool in elementary polynomial spline theory, in:Approximation Theory, ed. G.G. Lorentz (Academic Press, New York, 1973) pp. 269\u2013276."},{"key":"BF03028368_CR4","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-6333-3","volume-title":"A Practical Guide to Splines","author":"C. de Boor","year":"1978","unstructured":"[4]C. de Boor,A Practical Guide to Splines (Springer, New York, 1978)."},{"key":"BF03028368_CR5","doi-asserted-by":"crossref","first-page":"19","DOI":"10.1016\/0021-9045(73)90029-4","volume":"8","author":"C. de Boor","year":"1973","unstructured":"[5]C. de Boor and G.J. Fix, Spline approximation by quasiinterpolants, J. Approx. Theory 8 (1973) 19\u201345.","journal-title":"J. Approx. Theory"},{"key":"BF03028368_CR6","doi-asserted-by":"crossref","first-page":"533","DOI":"10.1017\/S0305004100071814","volume":"114","author":"M.D. Buhmann","year":"1993","unstructured":"[6]M.D. Buhmann, Discrete least squares approximation and prewavelets from radial function spaces, Math. Proc. Cambridge Phil. Soc. 114 (1993) 533\u2013558.","journal-title":"Math. Proc. Cambridge Phil. Soc."},{"key":"BF03028368_CR7","doi-asserted-by":"crossref","first-page":"455","DOI":"10.1007\/BF01385520","volume":"61","author":"M.D. Buhmann","year":"1992","unstructured":"[7]M.D. Buhmann and C.A. Micchelli, Spline prewavelets for non-uniform knots, Numer. Math. 61 (1992) 455\u2013474.","journal-title":"Numer. Math."},{"key":"BF03028368_CR8","unstructured":"[8]C.K. Chui, K. Jetter, J. St6ckler and J.D. Ward, Wavelets for analyzing scattered data: An unbounded operator approach, ms. (November 1994)."},{"key":"BF03028368_CR9","doi-asserted-by":"crossref","first-page":"35","DOI":"10.1016\/0898-1221(92)90170-M","volume":"24","author":"C.K. Chui","year":"1992","unstructured":"[9]C.K. Chui, K. Jetter and J.D. Ward, Cardinal interpolation with differences of tempered functions, Comp. Math. Appl. 24 (1992) 35\u201348.","journal-title":"Comp. Math. Appl."},{"key":"BF03028368_CR10","doi-asserted-by":"crossref","unstructured":"[10]I. Daubechies,Ten Lectures on Wavelets, CBMS-NSF Reg. Conf. Series in Appl. Math., vol. 61 (SIAM, Philadelphia, 1992).","DOI":"10.1137\/1.9781611970104"},{"key":"BF03028368_CR11","volume-title":"Constructive Approximation","author":"R.A. DeVore","year":"1994","unstructured":"[11]R.A. DeVore and G.G. Lorentz,Constructive Approximation (Springer, New York, 1994)."},{"key":"BF03028368_CR12","volume-title":"Generalized Functions","author":"I.M. Gel\u2019fand","year":"1964","unstructured":"[12]I.M. Gel\u2019fand and G.E. Shilov,Generalized Functions, vol. 1 (Academic Press, New York, 1964)."},{"key":"BF03028368_CR13","volume-title":"Generalized Functions","author":"I.M. Gel\u2019fand","year":"1964","unstructured":"[13]I.M. Gel\u2019fand and N.Ya. Vilenkin,Generalized Functions, vol. 4 (Academic Press, New York, 1964)."},{"key":"BF03028368_CR14","doi-asserted-by":"crossref","unstructured":"[14]M.J.D. Powell, Univariate multiquadric approximation: Reproduction of linear polynomials, in:Multivariate Approximation and Interpolation, eds. W. Hau\u00dfmann and K. Jetter, ISNM 94 (Birkh\u00e4user, Basel, 1990) pp. 227-240.","DOI":"10.1007\/978-3-0348-5685-0_17"}],"container-title":["Advances in Computational Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF03028368.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF03028368\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF03028368","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,22]],"date-time":"2019-05-22T20:33:52Z","timestamp":1558557232000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF03028368"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1995,5]]},"references-count":14,"journal-issue":{"issue":"4","published-print":{"date-parts":[[1995,5]]}},"alternative-id":["BF03028368"],"URL":"https:\/\/doi.org\/10.1007\/bf03028368","relation":{},"ISSN":["1019-7168","1572-9044"],"issn-type":[{"value":"1019-7168","type":"print"},{"value":"1572-9044","type":"electronic"}],"subject":[],"published":{"date-parts":[[1995,5]]}}}