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Improvement Taykov's lower bound in an inequation between C and L norms for trigonometric polynomials

D. V. Gorbachev

math.CAarXiv:math/0212037

Abstract

We give new lower asymptotical estimate of constant \[ Cn=\\|tn\|C( T)\|tn\|L( T):tnare real trigonometric polynomials, degtn<n\ \] as n∞. This estimate improves known bound of L.V.Taykov (1965).

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