Fourier Coefficients of Functions with a Given Modulus of Continuity

Autor:	V. S. Biryukova
Rok vydání:	2008
Předmět:	Class (set theory) Rademacher system General Mathematics Mathematical analysis Convex function Fourier series Upper and lower bounds Modulus of continuity Convexity Mathematics
Zdroj:	Mathematical Notes. 83:583-583
ISSN:	1573-8876 0001-4346
DOI:	10.1134/s0001434608030334
Popis:	In this paper, we study the role of the convexity condition for the modulus of continuity in the problem of finding an upper bound for the Fourier coefficients taken over the class of functions with a given modulus of continuity. Also, we solve the problem of the Fourier coefficients for the Rademacher system.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::23e65305de56efd293e1ad4854969505 https://doi.org/10.1134/s0001434608030334 Zobrazit plný text záznamu Plný text ve formátu PDF