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Inequalities of the Bernstein type for splines of defect 2

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Ukrainian Mathematical Journal Aims and scope

We obtain new exact inequalities of the Bernstein type for periodic polynomial splines of order r and defect 2.

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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. V. F. Babenko, N. P. Korneichuk, V. A. Kofanov, and S. A. Pichugov, Inequalities for Derivatives and Their Applications [in Russian], Naukova Dumka, Kiev (2003).

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  3. N. P. Korneichuk, Exact Constants in Approximation Theory [in Russian], Nauka, Moscow (1987).

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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 61, No. 7, pp. 995–999, July, 2009.

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Babenko, V.F., Parfinovich, N.V. Inequalities of the Bernstein type for splines of defect 2. Ukr Math J 61, 1180–1186 (2009). https://doi.org/10.1007/s11253-009-0258-1

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  • DOI: https://doi.org/10.1007/s11253-009-0258-1

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