On Mockenhaupt's conjecture in the Hardy-Littlewood majorant problem

DOI10.3103/S1068362313030011zbMath1287.42002arXiv1203.2378OpenAlexW2592584218WikidataQ123331710 ScholiaQ123331710MaRDI QIDQ2439855

Sándor Krenedits

Publication date: 17 March 2014

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.2378

zbMATH Keywords

quadrature formulaeconcave functionsHardy-Littlewood majorant problemTaylor polynomialsidempotent exponential polynomialsMontgomery conjectureMockenhaupt conjecture

Mathematics Subject Classification ID

Trigonometric polynomials, inequalities, extremal problems (42A05) Harmonic analysis in one variable (42A99)

Cites Work

• Three-term idempotent counterexamples in the Hardy-Littlewood majorant problem
• The maximum modulus of a trigonometric trinomial
• How to concentrate idempotents
• On the Hardy-Littlewood majorant problem for random sets
• Majorant problems for trigonometric series
• ON THE UPPER AND LOWER MAJORANT PROPERTIES IN L^P(G)
• Integral concentration of idempotent trigonometric polynomials with gaps
• NOTES ON THE THEORY OF SERIES (XIX): A PROBLEM CONCERNING MAJORANTS OF FOURIER SERIES
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