Two-sided estimates of Lebesque constants for Hölder spaces
Berezhnoi E.I.
December 2024John Wiley and Sons Inc
Mathematische Nachrichten
2024#297Issue 124750 - 4765 pp.
A two-sided estimate of Lebesgue constants is proposed for the Hölder space (Formula presented.), constructed from the modulus of continuity of the (Formula presented.) th order calculated in the symmetric space (Formula presented.). Choosing different function spaces (Formula presented.), we obtain new criteria for the convergence of classical Fourier series.
Fourier series , Hölder space , Lebesgue constants , modulus of continuity of k$k$th order , symmetric space
Text of the article Перейти на текст статьи
Department of Mathematics, Yaroslavl State University, Yaroslavl, Russian Federation
Regional Mathematical Center, Southern Federal University, Rostov-on-Don, Russian Federation
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Department of Mathematics
Regional Mathematical Center
Institute of Mathematics and Mathematical Modeling
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026