Average Nikolskii factors for random trigonometric polynomials
Abstract For 1 ≤ p , q ≤ ∞ $1\le p,q\le \infty $ , the Nikolskii factor for a trigonometric polynomial T a $T_{{\mathbf{a}}}$ is defined by N p , q ( T a ) = ∥ T a ∥ q ∥ T a ∥ p , T a ( x ) = a 1 + ∑ k = 1 n ( a 2 k 2 cos k x + a 2 k + 1 2 sin k x ) . $$ N_{p,q}(T_{{\mathbf{a}}})= \frac{\|T_{{\mathb...
Gorde:
| Egile Nagusiak: | , , , |
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| Formatua: | Artigo |
| Hizkuntza: | Inglês |
| Argitaratua: |
SpringerOpen
2026-04-01
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| Saila: | Journal of Inequalities and Applications |
| Gaiak: | |
| Sarrera elektronikoa: | https://doi.org/10.1186/s13660-026-03484-x |
| Etiketak: |
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