Global smoothness and shape preserving interpolation by classical operators /
"This monograph examines and develops the Global Smoothness Preservation Property (GSPP) and the Shape Preservation Property (SPP) in the field of interpolation of functions. The study is developed for the univariate and bivariate cases using well-known classical interpolation operators of Lagr...
| Main Author: | |
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| Format: | Book |
| Language: | English |
| Published: |
Boston :
Birkhäuser Boston,
2005
Boston : Birkhäuser, c2005 Boston : Birkhäuser Boston, c2005 Boston : Birkhäuser, 2005 Boston : c2005 |
| Subjects: |
| Summary: | "This monograph examines and develops the Global Smoothness Preservation Property (GSPP) and the Shape Preservation Property (SPP) in the field of interpolation of functions. The study is developed for the univariate and bivariate cases using well-known classical interpolation operators of Lagrange, Grunwald, Hermite-Fejer and Shepard type. One of the first books on the subject, it presents interesting new results along with an excellent survey of past research." "This text is best suited to graduate students and researchers in mathematical analysis, interpolation of functions, pure and applied mathematicians in numerical analysis, approximation theory, data fitting, computer-aided geometric design, fluid mechanics, and engineering researchers."--BOOK JACKET "This monograph examines and develops the Global Smoothness Preservation Property (GSPP) and the Shape Preservation Property (SPP) in the field of interpolation of functions. The study is developed for the univariate and bivariate cases using well-known classical interpolation operators of Lagrange, Grunwald, Hermite-Fejer and Shepard type. One of the first books on the subject, it presents interesting new results along with an excellent survey of past research." "This text is best suited to graduate students and researchers in mathematical analysis, interpolation of functions, pure and applied mathematicians in numerical analysis, approximation theory, data fitting, computer-aided geometric design, fluid mechanics, and engineering researchers."--Jacket |
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| Physical Description: | xiii, 146 p. : ill. ; 24 cm xiii, 146 pages : illustrations ; 24 cm |
| Bibliography: | Includes bibliographical references (p. [139]-143) and index Includes bibliographical references (pages 139-143) and index Includes bibliographical references (pages [139]-143) and index |
| ISBN: | 0817643877 (alk. paper) 0817643877 0817643885 (alk. paper) 0817643885 9780817643874 (alk. paper) 9780817643874 9780817643881 (alk. paper) 9780817643881 |