000			03610nam a22003855i 4500
001			297168
003			MX-SnUAN
005			20160429155411.0
007			cr nn 008mamaa
008			150903s2008 gw | o |||| 0|eng d
020			_a9783540683490 _99783540683490
024	7		_a10.1007/9783540683490 _2doi
035			_avtls000350014
039		9	_a201509030417 _bVLOAD _c201405050350 _dVLOAD _y201402071306 _zstaff
040			_aMX-SnUAN _bspa _cMX-SnUAN _erda
050		4	_aQA351
100	1		_aMastroianni, Giuseppe. _eautor _9313300
245	1	0	_aInterpolation Processes : _bBasic Theory and Applications / _cby Giuseppe Mastroianni, Gradimir V. Milovanovi?.
264		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2008.
300			_axiv, 444 páginas _brecurso en línea.
336			_atexto _btxt _2rdacontent
337			_acomputadora _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_aarchivo de texto _bPDF _2rda
490	0		_aSpringer Monographs in Mathematics, _x1439-7382
500			_aSpringer eBooks
505	0		_a1. Constructive Elements and Approaches in Approximation Theory -- 1.1 Introduction to Approximation Theory -- 1.2 Basic Facts on Trigonometric Approximation -- 1.3 Chebyshev Systems and Interpolation -- 1.4 Interpolation by Algebraic Polynomials -- 2. Orthogonal Polynomials and Weighted Polynomial Approximation -- 2.1 Orthogonal Systems and Polynomials -- 2.2 Orthogonal Polynomials on the Real Line -- 2.3 Classical Orthogonal Polynomials -- 2.4 Nonclassical Orthogonal Polynomials -- 2.5 Weighted Polynomial Approximation -- 3. Trigonometric Approximation -- 3.1 Approximating Properties of Operators -- 3.2 Discrete Operators -- 4. Algebraic Interpolation in Uniform Norm -- 4.1 Introduction and Preliminaries -- 4.2 Optimal Systems of Nodes -- 4.3 Weighted Interpolation -- 5. Applications -- 5.1 Quadrature Formulae -- 5.2 Integral Equations -- 5.3 Moment-Preserving Approximation -- 5.4 Summation of Slowly Convergent Series -- References -- Index.
520			_aThe classical books on interpolation address numerous negative results, i.e., results on divergent interpolation processes, usually constructed over some equidistant systems of nodes. The authors present, with complete proofs, recent results on convergent interpolation processes, for trigonometric and algebraic polynomials of one real variable, not yet published in other textbooks and monographs on approximation theory and numerical mathematics. In this special, but fundamental and important field of real analysis the authors present the state of art. Some 500 references are cited, including many new results of the authors. Basic tools in this field (orthogonal polynomials, moduli of smoothness, K-functionals, etc.) as well as some selected applications in numerical integration, integral equations, moment-preserving approximation and summation of slowly convergent series are also given. Beside the basic properties of the classical orthogonal polynomials the book provides new results on nonclassical orthogonal polynomials including methods for their numerical construction.
590			_aPara consulta fuera de la UANL se requiere clave de acceso remoto.
700	1		_aMilovanovi?, Gradimir V. _eautor _9332741
710	2		_aSpringerLink (Servicio en línea) _9299170
776	0	8	_iEdición impresa: _z9783540683469
856	4	0	_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-3-540-68349-0 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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999			_c297168 _d297168