000			02762nam a2200349 i 4500
008			081103r20092000riua b 001 0 eng
010			_a2008047417
020			_a9780821847985
020			_a0821847988
040			_aDLC _erda _cDLC _dBTCTA _dYDXCP _dC#P _dBWX _beng _dBAUN
049			_aBAUN_MERKEZ
050	0	4	_aQA221 _b.C44 2009
082	0	0	_222
100	1		_aCheney, E. W. _q(Elliott Ward), _d1929-
245	1	2	_aA course in approximation theory / _cWard Cheney, Will Light
264		1	_aProvidence, R.I. : _bAmerican Mathematical Society, _c[2009?]
300			_axiv, 359 pages : _billustrations ; _c27 cm
336			_atext _btxt _2rdacontent
337			_aunmediated _bn _2rdamedia
338			_avolume _bnc _2rdacarrier
490	1		_aGraduate studies in mathematics ; _vv. 101
500			_aOriginally published: Pacific Grove : Brooks/Cole Pub. Company, c2000
504			_aIncludes bibliographical references (pages 327-354) and indexes
505	0	0	_tContents _tCh. 1 Introductory Discussion of Interpolation _tCh. 2 Linear Interpolation Operators _tCh. 3 Optimization of the Lagrange Operator _tCh. 4 Multivariate Polynomials _tCh. 5 Moving the Nodes _tCh. 6 Projections _tCh. 7 Tensor-Product Interpolation _tCh. 8 The Boolean Algebra of Projections _tCh. 9 The Newton Paradigm for Interpolation _tCh. 10 The Lagrange Paradigm for Interpolation _tCh. 11 Interpolation by Translates of a Single Function _tCh. 12 Positive Definite Functions _tCh. 13 Strictly Positive Definite Functions _tCh. 14 Completely Monotone Functions _tCh. 15 The Schoenberg Interpolation Theorem _tCh. 16 The Micchelli Interpolation Theorem _tCh. 17 Positive Definite Functions on Spheres _tCh. 18 Approximation by Positive Definite Functions _tCh. 19 Approximate Reconstruction of Functions and Tomography _tCh. 20 Approximation by Convolution _tCh. 21 The Good Kernels _tCh. 22 Ridge Functions _tCh. 23 Ridge Function Approximation via Convolutions _tCh. 24 Density of Ridge Functions _tCh. 25 Artificial Neural Networks _tCh. 26 Chebyshev Centers _tCh. 27 Optimal Reconstruction of Functions _tCh. 28 Algorithmic Orthogonal Projections _tCh. 29 Cardinal B-Splines and the Sinc Function _tCh. 30 The Golomb-Weinberger Theory _tCh. 31 Hilbert Function Spaces and Reproducing Kernels _tCh. 32 Spherical Thin-Plate Splines _tCh. 33 Box Splines _tCh. 34 Wavelets, I _tCh. 35 Wavelets, II _tCh. 36 Quasi-Interpolation _t Bibliography _t Index _t Index of Symbols
650		0	_aApproximation theory _vTextbooks
700	1		_aLight, W. A. _q(William Allan), _d1950-
710	2		_9111032 _aAmerican Mathematical Society.
830		0	_9110509 _aGraduate studies in mathematics, _x1065-7339 ; _vvolume 101.
900			_a26764
900			_bsatın
942			_2lcc _cKT
999			_c22145 _d22145