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Approximation Von Funktionen Und Ihre Numerische Behandlung by Günter Meinardus

Approximation Von Funktionen Und Ihre Numerische Behandlung

by Günter Meinardus
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Book cover type: Paperback
  • ISBN13: 9783642856471
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 180
  • Original Price: EUR 46.72
  • Language: German
  • Edition: Softcover Repri
  • Item Weight: 277 grams
  • BISAC Subject(s): General

Erst in den letzten Jahren hat sich derjenige Tell der Approximations- theorie, der sich auf numerische Fragestellungen anwenden liiBt, starker entwickelt. Das Prinzip der in einem gewissen Sinne besten Anniiherung von Funktionen gewann insbesondere durch die Verwendung elektro- nischer Rechenmaschinen an Bedeutung. Einige der theoretischen Grundlagen, die zur Behandlung der auftretenden Probleme herange- zogen werden mussen, finden sich verstreut in wenigen Buchern. Der weitaus gr6Bte Teil der theoretischen und praktischen Untersuchungen ist jedoch nur in den Originalarbeiten nachzulesen. Hieraus ergab sich die Zielsetzung des vorliegenden Buches: Es sollte eine Zusammen- stellung der wesentlichen Ergebnisse der Approximationstheorie gegeben werden, die einerseits ein rasches Eindringen in die modernen Entwick- lungen dieses Gebietes ermoglicht und andererseits eine gewisse Voll- stiindigkeit auf dem Problemkreis der Tschebyscheff-Approximationen bietet, womit keineswegs gemeint ist, daB eine vollstiindige Literatur- ubersicht angestrebt wurde. Die Auswahl erfolgte stets nach dem immer noch subjektiven Gesichtspunkt der Bedeutung fiir die Anwendungen. Dies gilt z. B. auch fur die asymptotischen Untersuchungen des 3, denn ich bin der Meinung, daB man sich auch beinumerischen Approximationen uber die, wenigstens asymptotisch zu erwartende Genauigkeit Gedanken machen sollte. Fast ausschlieBlich habe ich mich auf die Theorie der gleich- miiBigen Approximation beschriinkt, da diese die weitaus groBte prak- tische Bedeutung besitzt. Das erste Kapitel behandelt lineare Approximationen. Der 3 ent- hiilt wohl den heute kiirzesten Zugang zur linearen Theorie.

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