A. S. Manoshina

most citedTuran Extremum Problem for Periodic Function with Small Support

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math.CA2003

Relation between Turán extremum problem and van der Corput sets

D. V. Gorbachev, A. S. Manoshina

Let $K \subset N$ and $T (K)$ is a set of trigonometric polynomials \[ T(x)=T_0+\sum_{k\in K, k\le H}T_k\cos(2πkx), \qquad H>1, \] $T (x) \geq 0$ for all $x$ and $T (0) = 1$ .…

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…