Cardinal spline interpolation: "Based on the ten lectures delivered at Northwestern University during the week of June 14 to 18, 1971, at the Regional Conference on 'Analysis with special emphasis on approximation theory'."
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Philadelphia, Pa.
Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104)
[c1973]
|
| Series: | CBMS-NSF regional conference series in applied mathematics
12 |
| Subjects: | |
| Online Access: | TUM01 UBW01 UBY01 UER01 Volltext |
| Item Description: | Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader Includes bibliographical references (s. 121-125) The basis property of B-splines -- The exponential Euler splines -- Cardinal spline interpolation -- Cardinal hermite interpolation -- Other spaces and semi-cardinal interpolation -- Finite spline interpolation problems -- Semi-cardinal interpolation and quadratures with general boundary conditions -- extremum and limit properties -- Applications: approximations of Fourier transforms and the smoothing of histograms As this monograph shows, the purpose of cardinal spline interpolation is to bridge the gap between the linear spline and the cardinal series. The author explains cardinal spline functions, the basic properties of B-splines, including B- splines with equidistant knots and cardinal splines represented in terms of B-splines, and exponential Euler splines, leading to the most important case and central problem of the book-- cardinal spline interpolation, with main results, proofs, and some applications. Other topics discussed include cardinal Hermite interpolation, semi-cardinal interpolation, finite spline interpolation problems, extremum and limit properties, equidistant spline interpolation applied to approximations of Fourier transforms, and the smoothing of histograms |
| Physical Description: | 1 Online-Ressource (vi, 119 Seiten) |
| ISBN: | 089871009X 9780898710090 |
| DOI: | 10.1137/1.9781611970555 |
Staff View
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Record in the Search Index
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| author | Schoenberg, I. J. |
| author_facet | Schoenberg, I. J. |
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| id | DE-604.BV039747246 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T00:10:18Z |
| institution | BVB |
| institution_GND | (DE-588)1083827-2 (DE-588)5012421-3 |
| isbn | 089871009X 9780898710090 |
| language | English |
| lccn | 74159921 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-024594777 |
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| physical | 1 Online-Ressource (vi, 119 Seiten) |
| psigel | ZDB-72-SIA |
| publishDate | 1973 |
| publishDateSearch | 1973 |
| publishDateSort | 1973 |
| publisher | Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104) |
| record_format | marc |
| series | CBMS-NSF regional conference series in applied mathematics |
| series2 | CBMS-NSF regional conference series in applied mathematics |
| spelling | Schoenberg, I. J. Verfasser aut Cardinal spline interpolation "Based on the ten lectures delivered at Northwestern University during the week of June 14 to 18, 1971, at the Regional Conference on 'Analysis with special emphasis on approximation theory'." I.J. Schoenberg Philadelphia, Pa. Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104) [c1973] 1 Online-Ressource (vi, 119 Seiten) txt rdacontent c rdamedia cr rdacarrier CBMS-NSF regional conference series in applied mathematics 12 Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader Includes bibliographical references (s. 121-125) The basis property of B-splines -- The exponential Euler splines -- Cardinal spline interpolation -- Cardinal hermite interpolation -- Other spaces and semi-cardinal interpolation -- Finite spline interpolation problems -- Semi-cardinal interpolation and quadratures with general boundary conditions -- extremum and limit properties -- Applications: approximations of Fourier transforms and the smoothing of histograms As this monograph shows, the purpose of cardinal spline interpolation is to bridge the gap between the linear spline and the cardinal series. The author explains cardinal spline functions, the basic properties of B-splines, including B- splines with equidistant knots and cardinal splines represented in terms of B-splines, and exponential Euler splines, leading to the most important case and central problem of the book-- cardinal spline interpolation, with main results, proofs, and some applications. Other topics discussed include cardinal Hermite interpolation, semi-cardinal interpolation, finite spline interpolation problems, extremum and limit properties, equidistant spline interpolation applied to approximations of Fourier transforms, and the smoothing of histograms Spline theory Interpolation Spline-Funktion (DE-588)4056332-7 gnd rswk-swf Approximationstheorie (DE-588)4120913-8 gnd rswk-swf Spline-Interpolation (DE-588)4182396-5 gnd rswk-swf Spline-Interpolation (DE-588)4182396-5 s 1\p DE-604 Approximationstheorie (DE-588)4120913-8 s 2\p DE-604 Spline-Funktion (DE-588)4056332-7 s 3\p DE-604 National Science Foundation Conference Board of the Mathematical Sciences Sonstige (DE-588)1083827-2 oth Society for Industrial and Applied Mathematics Activity Group on Discrete Mathematics Sonstige (DE-588)5012421-3 oth Erscheint auch als Druckausgabe 089871009X Erscheint auch als Druckausgabe 9780898710090 CBMS-NSF regional conference series in applied mathematics 12 (DE-604)BV046682627 12 https://doi.org/10.1137/1.9781611970555 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Schoenberg, I. J. Cardinal spline interpolation "Based on the ten lectures delivered at Northwestern University during the week of June 14 to 18, 1971, at the Regional Conference on 'Analysis with special emphasis on approximation theory'." CBMS-NSF regional conference series in applied mathematics Spline theory Interpolation Spline-Funktion (DE-588)4056332-7 gnd Approximationstheorie (DE-588)4120913-8 gnd Spline-Interpolation (DE-588)4182396-5 gnd |
| subject_GND | (DE-588)4056332-7 (DE-588)4120913-8 (DE-588)4182396-5 |
| title | Cardinal spline interpolation "Based on the ten lectures delivered at Northwestern University during the week of June 14 to 18, 1971, at the Regional Conference on 'Analysis with special emphasis on approximation theory'." |
| title_auth | Cardinal spline interpolation "Based on the ten lectures delivered at Northwestern University during the week of June 14 to 18, 1971, at the Regional Conference on 'Analysis with special emphasis on approximation theory'." |
| title_exact_search | Cardinal spline interpolation "Based on the ten lectures delivered at Northwestern University during the week of June 14 to 18, 1971, at the Regional Conference on 'Analysis with special emphasis on approximation theory'." |
| title_full | Cardinal spline interpolation "Based on the ten lectures delivered at Northwestern University during the week of June 14 to 18, 1971, at the Regional Conference on 'Analysis with special emphasis on approximation theory'." I.J. Schoenberg |
| title_fullStr | Cardinal spline interpolation "Based on the ten lectures delivered at Northwestern University during the week of June 14 to 18, 1971, at the Regional Conference on 'Analysis with special emphasis on approximation theory'." I.J. Schoenberg |
| title_full_unstemmed | Cardinal spline interpolation "Based on the ten lectures delivered at Northwestern University during the week of June 14 to 18, 1971, at the Regional Conference on 'Analysis with special emphasis on approximation theory'." I.J. Schoenberg |
| title_short | Cardinal spline interpolation |
| title_sort | cardinal spline interpolation based on the ten lectures delivered at northwestern university during the week of june 14 to 18 1971 at the regional conference on analysis with special emphasis on approximation theory |
| title_sub | "Based on the ten lectures delivered at Northwestern University during the week of June 14 to 18, 1971, at the Regional Conference on 'Analysis with special emphasis on approximation theory'." |
| topic | Spline theory Interpolation Spline-Funktion (DE-588)4056332-7 gnd Approximationstheorie (DE-588)4120913-8 gnd Spline-Interpolation (DE-588)4182396-5 gnd |
| topic_facet | Spline theory Interpolation Spline-Funktion Approximationstheorie Spline-Interpolation |
| url | https://doi.org/10.1137/1.9781611970555 |
| volume_link | (DE-604)BV046682627 |
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