Abstract
For functionsf which have an absolute continuous (n−1)th derivative on the interval [0, 1], it is proved that, in the case ofn>4, the inequality
holds with the exact constant 4n−2(n−1)!.
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References
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 1, pp. 105–107, January, 1995.
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Babenko, V.F., Kofanov, V.A. & Pichugov, S.A. On inequalities for norms of intermediate derivatives on a finite interval. Ukr Math J 47, 121–124 (1995). https://doi.org/10.1007/BF01058801
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DOI: https://doi.org/10.1007/BF01058801