Yudin, V. A. Two extremal problems for trigonometric polynomials. (English. Russian original) Zbl 0876.42001 Sb. Math. 187, No. 11, 1721-1736 (1996); translation from Mat. Sb. 187, No. 11, 145-160 (1996). Author’s abstract: A trigonometric polynomial that is positive on a set of small measure is constructed. Several new inequalities in the geometry of numbers are proved using the properties of this polynomial. Reviewer: I.Badea (Craiova) Cited in 1 ReviewCited in 3 Documents MSC: 42A05 Trigonometric polynomials, inequalities, extremal problems 11H99 Geometry of numbers Keywords:trigonometric polynomial; inequalities; geometry of numbers PDFBibTeX XMLCite \textit{V. A. Yudin}, Sb. Math. 187, No. 11, 1721--1736 (1996; Zbl 0876.42001); translation from Mat. Sb. 187, No. 11, 145--160 (1996) Full Text: DOI