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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)

MSC:

42A05 Trigonometric polynomials, inequalities, extremal problems
11H99 Geometry of numbers
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