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Inequalities for exponential sums

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arxiv 1602.02315 v1 pith:2WG4EA5Y submitted 2016-02-06 math.CA

Tamas Erdelyi This is my paper
classification math.CA
keywords exponentialinequalitiesresultresultssumsessentiallyhalaszimprove
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Inequalities for exponential sums are studied. Our results improve an old result of G. Halasz and a recent result of G. Kos. We prove several other essentially sharp related results in this paper.

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  1. Optimal Extrapolation Bounds for Sparse Fourier Sums

    cs.DS 2026-07 accept novelty 7.0 of 10

    k-sparse Fourier sums obey the Chebyshev-scale bound |g(1+δ)| ≤ O(k) exp(O(k√δ)) ||g||_L2[-1,1] (and the analogous arcosh form for larger x), which is optimal up to poly(k).

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