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An extremal property of trigonometric polynomials

2012/10/02 by Dmitriy Dmitrishin, D. V. Dmitrishin, Dmitrishin, D. V. +3 · 1 citation
Engineering · Mathematics · #Differential Equations and Numerical Methods #Elasticity and Wave Propagation #Material Science and Thermodynamics #math.CA #msc:42A05 #msc:93D09

paper · pdf · doi:10.48550/arxiv.1210.0871

arxiv created 2012/10/02 · arxiv updated 2012/10/03

Abstract

In this article the solution of the special problem of the conditional extremum for the conjugate trigonometric polynomials is given. A possibility to apply this result to the problems of optimal stabilization of quasidynamic chaos in discrete systems is mentioned.

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