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- W191387895 abstract "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 modules for this function is equal to 1 and support of this function lies in $[-h,h]$, $0<hle 1/2$. We show that this extremum problem for rational $h=p/q$ is equivalent two finite-dimensional linear programming problems. Here there are exact results for rational $h=2/q$, $h=p/(2p+1)$, $h=3/q$, and asymptotic equalities." @default.
- W191387895 created "2016-06-24" @default.
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- W191387895 date "2002-11-19" @default.
- W191387895 modified "2023-09-27" @default.
- W191387895 title "Turan Extremum Problem for Periodic Function with Small Support" @default.
- W191387895 hasPublicationYear "2002" @default.
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