| Document Type
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BL
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| Record Number
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878901
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| Main Entry
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Powell, M. J. D., (Michael James David),1936-
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| Title & Author
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Approximation theory and methods /\ M.J.D. Powell.
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| Publication Statement
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Cambridge [England] ;New York :: Cambridge University Press,, 1981.
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| Page. NO
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x, 339 pages :: illustrations ;; 24 cm
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| ISBN
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0521224721
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: 0521295149
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: 9780521224727
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: 9780521295147
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| Bibliographies/Indexes
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Includes bibliographical references (pages 317-332) and index.
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| Contents
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The approximation problem and existence of best approximations -- The uniqueness of best approximations -- Approximation operators and some approximating functions -- Polynomial interpolation -- Divided differences -- The uniform convergence of polynomial approximations -- The theory of minimax approximation -- The exchange algorithm -- The convergence of the exchange algorithm -- Rational approximation by the exchange algorithm -- Least squares approximation -- Properties of orthogonal polynomials -- Approximation of periodic functions -- The theory of best L1 approximation -- An example of L1 approximation and the discrete case -- The order of convergence of polynomial approximations -- The uniform boundedness theorem -- Interpolation by piecewise polynomials -- B-splines -- Convergence properties of spline approximations -- Knot positions and the calculation of spline approximations -- The Peano kernel theorem -- Natural and perfect splines -- Optimal interpolation.
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| Subject
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Approximation theory.
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Approximation, Théorie de l'
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31.14 number theory.
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Approximation theory.
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Approximation, Théorie de l'.
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Approximationstheorie
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Approximationstheorie.
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Benaderingen (wiskunde)
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| Dewey Classification
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511/.4
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| LC Classification
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QA221.P65
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| NLM classification
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31.14bcl
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41A15msc
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65-01msc
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SK 470rvk
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SK 910rvk
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