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  • Articles  (2)
  • Banach spaces  (1)
  • Chebyshev  (1)
  • 2020-2023
  • 2010-2014
  • 1970-1974  (2)
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  • Mathematics  (2)
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  • Articles  (2)
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  • Mathematics  (2)
  • 1
    Electronic Resource
    Electronic Resource
    Error estimates of Hermite interpolation (1973)
    Springer
    BIT 13 (1973), S. 338-343 
    Details
    ISSN: 1572-9125
    Keywords: Hermite interpolation ; Chebyshev ; order of continuity
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract This paper presents a procedure for obtaining error estimates for Hermite interpolation at the Chebyshev nodes {cos ((2j+1)π/2n)} j =0n−1 −1≦x≦1, for functionsf(x) of various orders of continuity. The procedure is applicable in many cases when the usual Lagrangian error bound is not, and is a better bound, in general, when both are applicable.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01951944
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    On sensitivity in optimal control problems (1974)
    Springer
    Journal of optimization theory and applications 13 (1974), S. 56-73 
    Details
    ISSN: 1573-2878
    Keywords: Sensitivity analysis ; control theory ; mathematical programming ; method of multipliers ; Banach spaces
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Two types of interpretations of multipliers in both static and dynamic optimization problems are described. It is snown that the Lagrange multipliers encountered in mathematical programming problems and the auxiliary functions arising in Pontryagintype optimal control problems sometimes have highly analogous interpretations as rates of change of the optimal attainable value of an objective function, or in some cases as bounds on average rates of change.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00935609
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    Paper (German National Licenses)
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