Тип публикации: статья из журнала
Год издания: 2014
Ключевые слова: Polynomial of smallest deviation from zero, Chebyshev alternance
Аннотация: A description is given for the Chebyshev monic polynomial T-n* of degree n with zeros on the circle and with the smallest deviation from zero on an arc. The construction of the extremal trigonometric polynomial of order n/2 associated with T-n* is investigated and dual extremal problems are studied. The results are applied to estimПоказать полностьюating an optimal error for extrapolation from a finite set in the Wiener class.
Журнал: ST PETERSBURG MATHEMATICAL JOURNAL
Выпуск журнала: Vol. 25, Is. 6
Номера страниц: 965-979
ISSN журнала: 10610022
Место издания: PROVIDENCE
Издатель: AMER MATHEMATICAL SOC