Geodesic
An integral problem of Konyagin and the $(C,L)$-constants of Nikol'skii
Trudy Instituta matematiki i mehaniki, Function theory, Tome 11 (2005) no. 2, pp. 72-91
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An extremal problem concerning functions with small supports posed by Konyagin in connection with number-theoretic applications is considered. It is shown to be related to extremal problems on the best Nikol'skii constants in the inequalities for $C$- and $L$-norms of trigonometric polynomials and entire functions of exponential type. New estimates for constants in these problems are obtained. 
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D. V. Gorbachev. An integral problem of Konyagin and the $(C,L)$-constants of Nikol'skii. Trudy Instituta matematiki i mehaniki, Function theory, Tome 11 (2005) no. 2, pp. 72-91. http://geodesic.mathdoc.fr/item/TIMM_2005_11_2_a6/

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