We obtain new exact inequalities of the Bernstein type for periodic polynomial splines of order r and defect 2.
References
N. P. Korneichuk, V. F. Babenko, and A. A. Ligun, Extremal Properties of Polynomials and Splines [in Russian], Naukova Dumka, Kiev (1992).
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).
N. P. Korneichuk, Exact Constants in Approximation Theory [in Russian], Nauka, Moscow (1987).
Author information
Authors and Affiliations
Additional information
Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 61, No. 7, pp. 995–999, July, 2009.
Rights and permissions
About this article
Cite this article
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
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11253-009-0258-1