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Generalization of some extremal properties of splines

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Abstract

We generalize well-known inequalities for the norms of the derivatives of periodic splines with minimal defect, perfect splines, and monosplines.

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References

  1. N. P. Korneichuk, V. F. Babenko, and A. A. Ligun,Extremal Properties of Polynomials and Splines [in Russian], Naukova Dumka, Kiev (1992).

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  2. A. N. Kolmogorov, “On inequalities between the upper bounds of sequential derivatives on an infinite interval,”Uchen. Zap. Mosk. Univ., Mat.,30, 3–16 (1939).

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  3. N. P. Korneichuk,Extremal Problems in the Theory of Approximation [in Russian], Nauka, Moscow (1976).

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  4. A. A. Ligun, “On inequalities between the norms of derivatives of periodic functions,”Mat. Zametki,33, No. 3, 385–391 (1983).

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  5. V. F. Babenko, “Exact inequalities for the norms of conjugated functions and their applications,”Ukr. Mat. Zh.,39, No. 2, 139–144 (1987).

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  6. N. P. Korneichuk, A. A. Ligun, and V. G. Doronin,Approximation with Restrictions [in Russian], Naukova Dumka, Kiev (1982).

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  7. V. F. Babenko, “Asymmetric approximations in spaces of summable functions,”Ukr. Mat. Zh.,34, No. 4, 409–416 (1982).

    Google Scholar 

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Authors and Affiliations

  1. Dnepropetrovsk University, Dnepropetrovsk

    V. F. Babenko

  2. Dneprodzerzhinsk Industrial Institute, Dneprodzerzhinsk

    A. A. Ligun

Authors
  1. V. F. Babenko
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  2. A. A. Ligun
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 3, pp. 403–407, March, 1995.

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Babenko, V.F., Ligun, A.A. Generalization of some extremal properties of splines. Ukr Math J 47, 469–473 (1995). https://doi.org/10.1007/BF01056309

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  • DOI: https://doi.org/10.1007/BF01056309

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