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An inequality for trigonometric polynomials

Author: Lawrence A. Harris
Journal: Proc. Amer. Math. Soc. 84 (1982), 155-156
MSC: Primary 26D05
MathSciNet review: 633298
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Abstract: Our purpose is to obtain in an elementary way a sharp estimate on the derivative of a trigonometric polynomial of degree $ \leqslant n$ at a point $ \theta $ when the trigonometric polynomial has a known bound at the Chebyshev points and at $ \theta $.

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