The rate of convergence of truncated hypersingular integrals generated by the Poisson and metaharmonic semigroups

Autor:	Ilham A. Aliev, Selim Çobanoğlu
Rok vydání:	2014
Předmět:	Smoothness (probability theory) Applied Mathematics Mathematical analysis Poisson distribution Inversion (discrete mathematics) Mathematics::Numerical Analysis Connection (mathematics) Harmonic analysis symbols.namesake Rate of convergence symbols Order (group theory) Analysis Mathematics
Zdroj:	Integral Transforms and Special Functions. 25:943-954
ISSN:	1476-8291 1065-2469
DOI:	10.1080/10652469.2014.940581
Popis:	In harmonic analysis, an important problem is to obtain inversion formulas for the potential-type integral operators. The studies on this subject have been developed by the use of hypersingular integral technique. In this paper the families of truncated hypersingular integrals generated by the Poisson and metaharmonic semigroups and dependent on a parameter epsilon, are introduced. Then the connection between the order of smoothness of a given L-p-function phi and the rate of convergence of these families of truncated hypersingular integrals, which converge to phi when epsilon tends to 0, is obtained.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::46898c50201242f4c63355e9ec12d1de https://doi.org/10.1080/10652469.2014.940581 Zobrazit plný text záznamu