On exact constants in inequalities for norms of derivatives on a finite segment
We prove that, in an additive inequality for norms of intermediate derivatives of functions defined on a finite segment and equal to zero at a given system of points, the least possible value of a constant coefficient of the norm of a function coincides with the exact constant in the corresponding Markov-Nikol'skii inequality for algebraic polynomials that are also equal to zero at this system of points.
English version (Springer): Ukrainian Mathematical Journal 51 (1999), no. 1, pp 128-130.
Citation Example: Babenko V. F., Uedraogo Zh. B. On exact constants in inequalities for norms of derivatives on a finite segment // Ukr. Mat. Zh. - 1999. - 51, № 1. - pp. 117–119.