000			03988nam a22005415i 4500
003			DE-He213
005			20191013104544.0
007			cr nn 008mamaa
008			100301s2008 gw | s |||| 0|eng d
020	6	4	_a9783540683490 _9978-3-540-68349-0
024	8	7	_a10.1007/978-3-540-68349-0 _2doi
050	8	4	_aQA351
072	8	7	_aPBKF _2bicssc
072	8	7	_aMAT034000 _2bisacsh
072	8	7	_aMAT037000 _2bisacsh
082			_a515.5 _223
100	8	1	_aMastroianni, Giuseppe. _eauthor. _9124309
245	9	7	_aInterpolation Processes _h[electronic resource] : _bBasic Theory and Applications / _cby Giuseppe Mastroianni, Gradimir V. Milovanovi.
001			000062756
300	6	4	_aXIV, 446 p. 42 illus. _bonline resource.
490	8	1	_aSpringer Monographs in Mathematics, _x1439-7382
505	8	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	6	4	_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.
650	8	0	_aMathematics. _98571
650	8	0	_aFourier analysis. _9124310
650	8	0	_aIntegral equations. _9124311
650	8	0	_aSequences (Mathematics). _914062
650	8	0	_aFunctions, special. _910257
650			_aMathematics. _98571
650			_aSpecial Functions. _910259
650			_aSequences, Series, Summability. _914066
650			_aFourier Analysis. _9124312
650			_aIntegral Equations. _9124313
700	8	1	_aMilovanovi, Gradimir V. _eauthor. _9124314
710	8	2	_aSpringerLink (Online service) _9124315
773	8	0	_tSpringer eBooks
776			_iPrinted edition: _z9783540683469
830	8	0	_aSpringer Monographs in Mathematics, _x1439-7382 _9124316
856			_uhttp://dx.doi.org/10.1007/978-3-540-68349-0 _zde clik aquí para ver el libro electrónico
264	8	1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2008.
336	6	4	_atext _btxt _2rdacontent
337	6	4	_acomputer _bc _2rdamedia
338	6	4	_aonline resource _bcr _2rdacarrier
347	6	4	_atext file _bPDF _2rda
516	6	4	_aZDB-2-SMA
999			_c62486 _d62486
942			_c05