Proof of an inequality for trigonometric polynomials
Author: G. K. Kristiansen
Journal: Proc. Amer. Math. Soc. 44 (1974), 49-57
MSC: Primary 42A04; Secondary 26A75
MathSciNet review: 0340916
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Abstract: Let a trigonometric polynomial have only real roots. An inequality is proved, relating the average value of the trigonometric polynomial between two consecutive roots to its maximal absolute value.