IJPAM: Volume 12, No. 3 (2004)

REGULAR METHODS OF SUMMABILITY AND
ABSTRACT URYSOHN-TYPE OPERATORS

Carlo Bardaro$^1$, Ilaria Mantellini$^2$
$^{1,2}$Department of Mathematics and Informatics
University of Perugia
Via Vanvitelli 1, 06123 Perugia, ITALY
$^1$e-mail: bardaro@unipg.it
$^2$e-mail: mantell@dipmat.unipg.it


Abstract.We study the summability properties for a class of nonlinear integral operators of the form $(T_wf)(s) = \int_{H_w} K_w(s,t,f(t))d\mu_w(t)$ in some function spaces.

Received: February 28, 2004

AMS Subject Classification: 40C10, 47G10, 46E30, 40J05

Key Words and Phrases: locally compact spaces, Orlicz spaces, nonlinear integral operators, sampling series

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2004
Volume: 12
Issue: 3