Uniform boundedness of Kantorovich operators in variable exponent Lebesgue spaces

Autor:	Rabil Ayazoglu, Ebubekir Akkoyunlu, Sezgin Akbulut
Rok vydání:	2019
Předmět:	Mathematics::Functional Analysis Pure mathematics Variable exponent General Mathematics Uniform boundedness Lp space Mathematics
Zdroj:	Filomat. 33:5755-5765
ISSN:	2406-0933 0354-5180
DOI:	10.2298/fil1918755a
Popis:	In this paper, the Kantorovich operators Kn, n ? N are shown to be uniformly bounded in variable exponent Lebesgue spaces on the closed interval [0; 1]. Also an upper estimate is obtained for the difference Kn(f)-f for functions f of regularity of order 1 and 2 measured in variable exponent Lebesgue spaces, which is of interest on its own and can be applied to other problems related to the Kantorovich operators.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::c235a874fd4d1b6fa562dec5e17a37d0 https://doi.org/10.2298/fil1918755a Zobrazit plný text záznamu