On the Turán problem for periodic functions with nonnegative Fourier coefficients and small support

DOI10.1007/s11006-005-0089-9zbMath1100.42003OpenAlexW2025743153MaRDI QIDQ2388205

Yu. D. Rudomazina, Valeriĭ I. Ivanov

Publication date: 8 September 2005

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

Full work available at URL: https://doi.org/10.1007/s11006-005-0089-9

zbMATH Keywords

Fourier seriesextremal problemperiodic functiontrigonometric polynomialTurán problemFejér problem

Mathematics Subject Classification ID

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

Related Items (9)

Wiener's problem for positive definite functions ⋮ Delsarte’s extremal problem and packing on locally compact Abelian groups ⋮ НЕКОТОРЫЕ ЭКСТРЕМАЛЬНЫЕ ЗАДАЧИ ДЛЯ ПРЕОБРАЗОВАНИЯ ФУРЬЕ ПО СОБСТВЕННЫМ ФУНКЦИЯМ ОПЕРАТОРА ШТУРМА–ЛИУВИЛЛЯ ⋮ НЕКОТОРЫЕ ЭКСТРЕМАЛЬНЫЕ ЗАДАЧИ ГАРМОНИЧЕСКОГО АНАЛИЗА И ТЕОРИИ ПРИБЛИЖЕНИЙ ⋮ On the existence of an extremal function in the Delsarte extremal problem ⋮ 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 ⋮ On the approximation of positive definite functions by like functions of smaller support

This page was built for publication: On the Turán problem for periodic functions with nonnegative Fourier coefficients and small support