On a rate of convergence of truncated hypersingular integrals associated to Riesz and Bessel potentials

Autor:	Ilham A. Aliev, Melih Eryigit
Rok vydání:	2013
Předmět:	Smoothness (probability theory) Applied Mathematics Mathematical analysis Function (mathematics) Modulus of continuity Mathematics::Numerical Analysis symbols.namesake Rate of convergence symbols Order (group theory) Connection (algebraic framework) Analysis Bessel function Mathematics
Zdroj:	Journal of Mathematical Analysis and Applications. 406:352-359
ISSN:	0022-247X
DOI:	10.1016/j.jmaa.2013.04.078
Popis:	The notion of a μ -smooth point of a L p -function φ and a family of truncated hypersingular integrals depending on a parameter e are introduced. Then the connection between the order of μ -smoothness of the function φ and the rate of convergence of the family of truncated hypersingular integrals to φ , when e tends to 0, is obtained.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e2a8ca7319e5ed601646b8be1b183d56 https://doi.org/10.1016/j.jmaa.2013.04.078 Zobrazit plný text záznamu Full Text from ScienceDirect