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Quantitative Prinzipien Gleichmäßiger Beschränktheit Und Schärfe Von Fehlerabschätzungen by Werner Dickmeis

Quantitative Prinzipien Gleichmäßiger Beschränktheit Und Schärfe Von Fehlerabschätzungen

by Werner Dickmeis
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Book cover type: Paperback
  • ISBN13: 9783531031170
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Vs Verlag Fur Sozialwissenschaften
  • Publisher Imprint: Vs Verlag Fur Sozialwissenschaften
  • Publication Date:
  • Pages: 110
  • Original Price: EUR 51.39
  • Language: German
  • Edition: 1982
  • Item Weight: 191 grams
  • BISAC Subject(s): Applied

Ziel der vorliegenden Abhandlung ist es, das klassische Prinzip der gleichmä igen Beschränktheit (uniform boundedness principle) mit Ordnungen zu versehen und an Hand einer Viel- zahl von Anwendungen aus der Approximationstheorie und der Numerischen Analysis zu zeigen, da die so erweiterten Prin- zipien einen einheitlichen Zugang zu Fragen der Schärfe von Fehlerabschätzungen ermöglichen. Bekanntlich besagt das klassische Beschränktheitsprinzip: Satz 1. 1: Für eine Fotge {Tn} =1 Von beschränkten tinearen Operatoren eines Banach Raumes X in einen tinearen normierten Raum Y fotgt aus der starken (punktweisen) Beschränktheit (1. 1) (n 00) für jedes einze tne fe: X die gteichmä ige Beschränktheit (n 00) - (1. 2) IITnll [X, Y]: = sup IIT fll = 0(1) y 11 fll x

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