Heping Wang

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math.CA2025

Average Nikolskii factors for random trigonometric polynomials

Yun Ling, Jiaxin Geng, Jiansong Li +1

For $1 \leq p, q \leq \infty$ , the Nikolskii factor for a trigonometric polynomial $T_{a}$ is defined by $$\mathcal N_{p,q}(T_{\bf a})=\frac{\|T_{\bf a}\|_{q}}{\|T_{\bf a}\|_{p}},\…

math.CA2024

Exact $L_{2}$ Bernstein-Markov inequalities for generalized weights

Jiansong Li, Jiaxin Geng, Yun Ling +1

In this paper, we obtain some exact $L_{2}$ Bernstein-Markov inequalities for generalized Hermite and Gegenbauer weight. More precisely, we determine the exact values of the extremal…

Average Nikolskii factors for random trigonometric polynomials

Exact L2​ Bernstein-Markov inequalities for generalized weights

Exact $L_{2}$ Bernstein-Markov inequalities for generalized weights