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  • 1
    Electronic Resource
    Electronic Resource
    Unicity of best one-sidedL 1-approximations (1982)
    Springer
    Numerische Mathematik 40 (1982), S. 229-243 
    Details
    ISSN: 0945-3245
    Keywords: AMS(MOS): 65D15 ; CR: 5.13
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary This paper deals with the problem of uniqueness in one-sidedL 1-approximation. The chief purpose is to characterize finite dimensional subspacesG of the space of continuous or differentiable functions which have a unique best one-sidedL 1-approximation. In addition, we study a related problem in moment theory. These considerations have an important application to the uniqueness of quadrature formulae of highest possible degree of precision.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01400541
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    On interpolation with products of positive definite functions (1997)
    Springer
    Numerical algorithms 15 (1997), S. 153-165 
    Details
    ISSN: 1572-9265
    Keywords: interpolation of multivariate functions ; variational problems ; kernel functions ; positive definite functions ; Hadamard products
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract In this paper we consider the problem of scattered data interpolation for multivariate functions. In order to solve this problem, linear combinations of products of positive definite kernel functions are used. The theory of reproducing kernels is applied. In particular, it follows from this theory that the interpolating functions are solutions of some varational problems.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1019141803590
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    Paper (German National Licenses)
    Fulltext
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