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  • 1
    Buch
    Buch
    Wavelets: a tutorial in theory and applications (1992)
    London u.a. :Academic Press,
    Details
    Titel: Wavelets: a tutorial in theory and applications
    Beteiligte Person(en): Chui, Charles K.
    Verlag: London u.a. :Academic Press,
    Erscheinungsjahr: 1992
    Seiten: 729 S.
    Serie: Wavelets analysis and its applications
    Materialart: Buch
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  • 2
    Buch
    Buch
    ¬An¬ introduction to Wavelets (1992)
    London u.a. :Academic Press,
    Details
    Titel: ¬An¬ introduction to Wavelets
    Autor: Chui, Charles K.
    Verlag: London u.a. :Academic Press,
    Erscheinungsjahr: 1992
    Seiten: 266 S.
    Serie: Wavelets analysis and its applications
    Materialart: Buch
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  • 3
    Digitale Medien
    Digitale Medien
    Approximation with restricted spectra (1975)
    Springer
    Mathematische Zeitschrift 144 (1975), S. 289-297 
    Details
    ISSN: 1432-1823
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01214143
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  • 4
    Digitale Medien
    Digitale Medien
    Correction to approximation with restricted spectra (1976)
    Springer
    Mathematische Zeitschrift 146 (1976), S. 291-292 
    Details
    ISSN: 1432-1823
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01181886
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  • 5
    Digitale Medien
    Digitale Medien
    Best uniform approximation from a collection of subspaces (1977)
    Springer
    Mathematische Zeitschrift 156 (1977), S. 13-18 
    Details
    ISSN: 1432-1823
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01215125
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  • 6
    Digitale Medien
    Digitale Medien
    A characterization of multivariate quasi-interpolation formulas and its applications (1990)
    Springer
    Numerische Mathematik 57 (1990), S. 105-121 
    Details
    ISSN: 0945-3245
    Schlagwort(e): AMS(MOS): 41A15, 41A25, 41A63
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Summary Let ϕ be a compactly supported function on ℝ s andS (ϕ) the linear space withgenerator ϕ; that is,S (ϕ) is the linear span of the multiinteger translates of ϕ. It is well known that corresponding to a generator ϕ there are infinitely many quasi-interpolation formulas. A characterization of these formulas is presented which allows for their direct calculation in a variety of forms suitable to particular applications, and in addition, provides a clear formulation of the difficult problem of minimally supported quasi-interpolants. We introduce a generalization of interpolation called μ-interpolation and a notion of higher order quasi-interpolation called μ-approximation. A characterization of μ-approximants similar to that of quasi-interpolants is obtained with similar applications. Among these applications are estimating least-squares approximants without matrix inversion, surface fitting to incomplete or semi-scattered discrete data, and constructing generators with one-point quasi-interpolation formulas. It will be seen that the exact values of the generator ϕ at the multi-integers ℤ s facilitates the above study. An algorithm to yield this information for box splines is discussed.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01386401
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  • 7
    Digitale Medien
    Digitale Medien
    Order of approximation by electrostatic fields due to electrons (1985)
    Springer
    Constructive approximation 1 (1985), S. 121-135 
    Details
    ISSN: 1432-0940
    Schlagwort(e): 41 A 20 ; 30 E 10 ; Order of approximation ; Rational functions and electrostatic fields due to distribution of electrons ; Bers space ; Jordan domain ; Conformal mapping
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Abstract LetD be a Jordan domain in the complex plane andA q (D) the Bers space with norm ∥ ∥ q . IfD is the unit disk, it is known that ∥S n 0∥2≥π/18, whereS n =∑ k=1 n l/(z−z nk ) withz nk ∈∂D, so that approximation in ∥ ∥ q ,q〈-2, is not possible. In this paper, we give an order of estimate of ∥f−S n ∥ q for 2〈q〈∞ when ∂D is a sufficiently smooth Jordan curve, and prove that this order of approximation is in general best possible.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01890026
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  • 8
    Digitale Medien
    Digitale Medien
    Constrained best approximation in Hilbert space (1990)
    Springer
    Constructive approximation 6 (1990), S. 35-64 
    Details
    ISSN: 1432-0940
    Schlagwort(e): Conical hull ; Polar of a cone ; Best constrained interpolation ; Primary 41A65 ; Secondary 41A29 ; 41A05
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Abstract In this paper we study the characterization of the solution to the extremal problem inf{‖x‖x ∈C ∩M}, wherex is in a Hilbert spaceH, C is a convex cone, andM is a translate of a subspace ofH determined by interpolation conditions. We introduce a simple geometric property called the “conical hull intersection property” that provides a unifying framework for most of the basic results in the subject of optimal constrained approximation. Our approach naturally lends itself to considering the data cone as opposed to the constraint cone. A nice characterization of the solution occurs, for example, if the data vector associated withM is an interior point of the data cone.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01891408
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  • 9
    Digitale Medien
    Digitale Medien
    On bivariate super vertex splines (1990)
    Springer
    Constructive approximation 6 (1990), S. 399-419 
    Details
    ISSN: 1432-0940
    Schlagwort(e): Multivariate ; Splines ; Super splines ; Approximation order ; Bézier net ; Interpolation
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Abstract A vertex spline basis of the super-spline subspace $$\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\frown}$}}{S} _d^r : = S_d^{r,r + \left\lfloor {(d - 2r - 1)/2} \right\rfloor } (\Delta )$$ of Sd r(Δ), where d≥3r+2 and Δ is an arbitrary triangulation inR 2, is constructed, so that the full approximation order ofd+1 can be achieved via an approximation formula using this basis.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01888272
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  • 10
    Digitale Medien
    Digitale Medien
    A General framework for local interpolation (1990)
    Springer
    Numerische Mathematik 58 (1990), S. 569-581 
    Details
    ISSN: 0945-3245
    Schlagwort(e): AMS(MOS): 41A15 ; 65D05 ; CR: G1.1
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Summary We present a general framework for the construction of local interpolation methods with a given approximation order. Some applications to multivariate spline spaces are presented.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01385640
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