The Turán extremal problem for periodic functions with small support and its applications.

DOI10.1023/B:MATN.0000049663.45427.0fzbMath1074.42002OpenAlexW1981825579MaRDI QIDQ556585

A. S. Manoshina, Dmitry Gorbachev

Publication date: 21 June 2005

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:matn.0000049663.45427.0f

zbMATH Keywords

linear programmingFourier seriesvan der Corput setFejér polynomialTurán extremal problem

Mathematics Subject Classification ID

Linear programming (90C05) Estimates on exponential sums (11L07) Polynomials in number theory (11C08) Special sequences and polynomials (11B83) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

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Wiener's problem for positive definite functions ⋮ НЕКОТОРЫЕ ЭКСТРЕМАЛЬНЫЕ ЗАДАЧИ ДЛЯ ПРЕОБРАЗОВАНИЯ ФУРЬЕ ПО СОБСТВЕННЫМ ФУНКЦИЯМ ОПЕРАТОРА ШТУРМА–ЛИУВИЛЛЯ ⋮ НЕКОТОРЫЕ ЭКСТРЕМАЛЬНЫЕ ЗАДАЧИ ГАРМОНИЧЕСКОГО АНАЛИЗА И ТЕОРИИ ПРИБЛИЖЕНИЙ ⋮ The Turán problem and its dual for positive definite functions supported on a ball in \(\mathbb{R}^d\) ⋮ On positive definite piecewise linear functions and their applications ⋮ Some extremal problems for the Fourier transform on the hyperboloid ⋮ Turán's extremal problem on locally compact abelian groups ⋮ Turán, Fejér and Bohman extremal problems for the multivariate Fourier transform in terms of the eigenfunctions of a Sturm-Liouville problem ⋮ Carathéodory-Fejér type extremal problems on locally compact Abelian groups

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