We prove that the sharp constant in the univariate Bernstein–Nikolskii inequality for entire functions of exponential type is the limit of the sharp constant in the V. A. Markov type inequality with an exponential weight for coefficients of an algebraic polynomials of degree n as $n\to \infty$.

中文翻译：

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具有指数权重的Markov–Bernstein–Nikolskii型不等式中尖锐常数的渐近性

我们证明了单变量Bernstein–Nikolskii不等式中针对指数型整个函数的锐变常数是VA Markov型不等式中锐化常数的极限，其中n次代数多项式系数的指数权重为 $ñ\to \infty$。