| 書目名稱 | Global Smoothness and Shape Preserving Interpolation by Classical Operators | | 編輯 | Sorin G. Gal | | 視頻video | http://file.papertrans.cn/387/386580/386580.mp4 | | 概述 | One of the first books on this subject, it fills a gap in the field of interpolation of functions.Potential applications to data fitting, fluid dynamics, curves and surfaces, engineering, and computer | | 圖書封面 |  | | 描述 | .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, Grünwald, Hermite-Fejér and Shepard type. One of the first books on the subject, it presents interesting new results alongwith an excellent survey of past research...Key features include:..- potential applications to data fitting, fluid dynamics, curves and surfaces, engineering, and computer-aided geometric design..- presents recent work featuring many new interesting results as well as an excellent survey of past research..- many interesting open problems for future research presented throughout the text..- includes 20 very suggestive figures of nine types of Shepard surfaces concerning their shape preservation property..- generic techniques of the proofs allow for easy application to obtaining similar results for other interpolation operators..This unique, well-written text is best suited to graduate students and researchers in mathematical analysis, interpolation of functions, pure | | 出版日期 | Book 2005 | | 關(guān)鍵詞 | Complex variables; Operator; Operator Theory; calculus; fluid mechanics; function; ksa; mechanics; numerical | | 版次 | 1 | | doi | https://doi.org/10.1007/b137115 | | isbn_ebook | 978-0-8176-4401-7 | | copyright | Birkh?user Boston 2005 |
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