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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     author = {D. V. Gorbachev},
     title = {An integral problem of {Konyagin} and the $(C,L)$-constants of {Nikol'skii}},
     journal = {Trudy Instituta matematiki i mehaniki},
     pages = {72--91},
     publisher = {mathdoc},
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     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMM_2005_11_2_a6/}
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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/