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

2 citations · 3 across the 3 of their papers we have counts for

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3 papers

math.CA2003

Relation between Turán extremum problem and van der Corput sets

D. V. Gorbachev, A. S. Manoshina

Let and is a set of trigonometric polynomials \[ T(x)=T_0+\sum_{k\in K, k\le H}T_k\cos(2πkx), \qquad H>1, \] for all and .…

math.CA2002★ 2 cited

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

D. V. Gorbachev

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}, \operator…

math.CA2002★ 1 cited

Turan Extremum Problem for Periodic Function with Small Support

D. V. Gorbachev, A. S. Manoshina

We consider an extremum problem posed by Turan. The aim of this problem is to find a maximum mean value of 1-periodic continuous even function such that sum of Fourier coefficient…