Approximation Theory: Moduli of Continuity and Global Smoothness Preservation

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Birkhäuser, 2000 - Mathematics - 525 pages
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This monograph, in two parts, is an intensive and comprehensive study of the computational aspects of the moduli of smoothness and the Global Smoothness Preservation Property (GSPP). Key features include: * systematic and extensive study of the computation of Moduli of Continuity and GSPP, presented for the first time in book form * substantial motivation and examples for key results * extensive applications of moduli of smoothness and GSPP concepts to approximation theory, probability theory, numerical and functional analysis * GSPP methods to benefit engineers in computer-aided geometric design * good bibliography and index For researchers and graduate students in pure and applied mathematics.

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Contents

Global Smoothness Preservation
14
General Theory of Global Smoothness Preservation
41
Calculus of the Moduli of Smoothness
55
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