An error analysis for the calculation of semiintegrals and semiderivatives by the RL algorithm (Q1069269)

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scientific article; zbMATH DE number 3934298
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An error analysis for the calculation of semiintegrals and semiderivatives by the RL algorithm
scientific article; zbMATH DE number 3934298

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    An error analysis for the calculation of semiintegrals and semiderivatives by the RL algorithm (English)
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    1985
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    An error analysis of the RL algorithm of \textit{K. B. Oldham} and \textit{J. Spanier} [The fractional calculus. Theory and applications of differentiation and integration to arbitrary order. (1974; Zbl 0292.26011)] for the numerical approximation of half-order derivatives and half-order integrals for the case \(f(x)\in C^ 2\) is given. Numerical examples are also presented.
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    semiderivative
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    semiintegral
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    error analysis
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    RL algorithm
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    half-order derivatives
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    half-order integrals
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    Numerical examples
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