Geodesic
Markov--Nikol'skii inequality for the spaces $L_q$, $L_0$ on a~segment
Trudy Instituta matematiki i mehaniki, Function theory, Tome 11 (2005) no. 2, pp. 60-71

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For algebraic polynomials of degree $n$ on a segment, an exact constant is found in the Markov–Nikol'skii inequality $\|P^{(k)}\|_q\le M_{q,0}(n,k)\|P\|_0$, $1\le q\le\infty$. 
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     author = {P. Yu. Glazyrina},
     title = {Markov--Nikol'skii inequality for the spaces $L_q$, $L_0$ on a~segment},
     journal = {Trudy Instituta matematiki i mehaniki},
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P. Yu. Glazyrina. Markov--Nikol'skii inequality for the spaces $L_q$, $L_0$ on a~segment. Trudy Instituta matematiki i mehaniki, Function theory, Tome 11 (2005) no. 2, pp. 60-71. http://geodesic.mathdoc.fr/item/TIMM_2005_11_2_a5/