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math.CA2025
Average Nikolskii factors for random trigonometric polynomials
Yun Ling, Jiaxin Geng, Jiansong Li +1
For , the Nikolskii factor for a trigonometric polynomial is defined by $$\mathcal N_{p,q}(T_{\bf a})=\frac{\|T_{\bf a}\|_{q}}{\|T_{\bf a}\|_{p}},\…
math.CA2024
Exact Bernstein-Markov inequalities for generalized weights
Jiansong Li, Jiaxin Geng, Yun Ling +1
In this paper, we obtain some exact Bernstein-Markov inequalities for generalized Hermite and Gegenbauer weight. More precisely, we determine the exact values of the extremal…