Turan Extremum Problem for Periodic Function with Small Support

Details Turan Extremum Problem for Periodic Function with Small Support Turan Extremum Problem for Periodic Function with Small Support

2002-11-19

arxiv.org/abs/math/0211291v1

Mathematics

Classical Analysis and ODEs

8 pages

Scientific paper

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

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