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We determine the optimal inequality of the form $\sum_{k=1}^m a_k\sin kx\leq 1$, in the sense that $\sum_{k=1}^m a_k$ is maximal. We also solve exactly the analogous problem for the sawtooth (or signed fractional part) function. Equivalently, we solv
Externí odkaz:
http://arxiv.org/abs/2107.11058
Publikováno v:
Journal of Fourier Analysis and Applications. 28
We determine the optimal inequality of the form $\sum_{k=1}^m a_k\sin kx\leq 1$, in the sense that $\sum_{k=1}^m a_k$ is maximal. We also solve exactly the analogous problem for the sawtooth (or signed fractional part) function. Equivalently, we solv
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::be6f3ec91b148fa043294cc12ad8116f
https://doi.org/10.1007/s00041-022-09909-7
https://doi.org/10.1007/s00041-022-09909-7
