000			03191nam a22004935i 4500
001			978-0-8176-4401-7
003			DE-He213
005			20251006084433.0
007			cr nn 008mamaa
008			100301s2005 xxu| s |||| 0|eng d
020			_a9780817644017
020			_a99780817644017
024	7		_a10.1007/b137115 _2doi
082	0	4	_a518 _223
100	1		_aGal, Sorin G. _eauthor.
245	1	0	_aGlobal Smoothness and Shape Preserving Interpolation by Classical Operators _h[electronic resource] / _cby Sorin G. Gal.
264		1	_aBoston, MA : _bBirkhäuser Boston, _c2005.
300			_aXIII, 146 p. 20 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
505	0		_aGlobal Smoothness Preservation, Univariate Case -- Partial Shape Preservation, Univariate Case -- Global Smoothness Preservation, Bivariate Case -- Partial Shape Preservation, Bivariate Case.
520			_aThis 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 and applied mathematicians in numerical analysis, approximation theory, data fitting, computer-aided geometric design, fluid mechanics, and engineering researchers.
650		0	_aMATHEMATICS.
650		0	_aFUNCTIONS OF COMPLEX VARIABLES.
650		0	_aOPERATOR THEORY.
650		0	_aNUMERICAL ANALYSIS.
650		0	_aENGINEERING MATHEMATICS.
650	1	4	_aMATHEMATICS.
650	2	4	_aNUMERICAL ANALYSIS.
650	2	4	_aOPERATOR THEORY.
650	2	4	_aFUNCTIONS OF A COMPLEX VARIABLE.
650	2	4	_aAPPROXIMATIONS AND EXPANSIONS.
650	2	4	_aREAL FUNCTIONS.
650	2	4	_aAPPL.MATHEMATICS/COMPUTATIONAL METHODS OF ENGINEERING.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780817643874
856	4	0	_uhttp://dx.doi.org/10.1007/b137115 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c59606 _d59606