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Lieferstatus:	Auf Bestellung (Lieferzeit unbekannt)
Veröffentlichung:	November 2010
Genre:	Schulbücher
	B / Calculus & mathematical analysis / Fourier Analysis / Functional analysis & transforms / Funktionalanalysis und Abwandlungen / Integral Equations / Mathematics and Statistics / Mathematische Analysis, allgemein / Sequences (Mathematics) / Sequences, Series, Summability / Special Functions mehr...
ISBN:	9783642087943
EAN-Code:	9783642087943
Verlag:	Springer EN
Einband:	Kartoniert
Sprache:	English
Serie:	Springer Monographs in Mathematics
Dimensionen:	H 235 mm / B 155 mm / D
Gewicht:	700 gr
Seiten:	446
Illustration:	XIV, 446 p. 42 illus., schwarz-weiss Illustrationen
Zus. Info:	EUDR exemption - product or manufacturing materials placed on the market prior to 31.12.2025.
Bewertung:	Titel bewerten / Meinung schreiben

Inhalt:

The 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 resultson nonclassical orthogonal polynomials including methods for their numerical construction.