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On passive and active algorithms of reconstruction of functions

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Ukrainian Mathematical Journal Aims and scope

Abstract

We consider passive and active algorithms of reconstruction of functions, satisfying the condition |f(t′)−f(t″)|≤|t′−t″|α,0<α≤1, according to their valuesf(t) at the points of the interval [a, b]. An active algorithm is presented which guarantees, for monotonic functions from the above-mentioned class with 0<α<1, a higher order of error inC [a, b] than can be attained by any passive algorithm.

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References

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    N. P. Korneichuk (Corresponding Member, Ukraininian Academy of Sciences)

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  1. N. P. Korneichuk
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Translated from Ukrainskii Matematicheskii ZhurnaL, Vol. 45, No. 2, pp. 258–264, February, 1993.

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Korneichuk, N.P. On passive and active algorithms of reconstruction of functions. Ukr Math J 45, 277–283 (1993). https://doi.org/10.1007/BF01060984

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  • DOI: https://doi.org/10.1007/BF01060984

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