Geodesic
On an Inequality of Sidon Type for Trigonometric Polynomials
Matematičeskie zametki, Tome 89 (2011) no. 4, pp. 589-595

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We establish a lower bound for the uniform norm of the trigonometric polynomial of special form via the sum of the $L^1$-norms of its summands. This result generalizes a theorem due to Kashin and Temlyakov, which, in turn, generalizes the classical Sidon inequality.
Keywords: trigonometric polynomial, Sidon inequality, lacunary sequence, lacunarity index
Mots-clés : Vallée-Poussin kernel. 
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     author = {A. O. Radomskii},
     title = {On an {Inequality} of {Sidon} {Type} for {Trigonometric} {Polynomials}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {589--595},
     publisher = {mathdoc},
     volume = {89},
     number = {4},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2011_89_4_a9/}
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A. O. Radomskii. On an Inequality of Sidon Type for Trigonometric Polynomials. Matematičeskie zametki, Tome 89 (2011) no. 4, pp. 589-595. http://geodesic.mathdoc.fr/item/MZM_2011_89_4_a9/