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

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

2002-12-03

arxiv.org/abs/math/0212037v1

Mathematics

Classical Analysis and ODEs

3 pages

Scientific paper

We give new lower asymptotical estimate of constant \[
C_n=\sup\biggl\{\frac{\|t_n\|_{C(\mathbb T)}}{\|t_n\|_{L(\mathbb
T)}}:t_n\text{are real trigonometric polynomials},
\operatorname{deg}t_nknown bound of L.V.Taykov (1965).

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