Affiliation:
1. Ege University, Department of Mathematics, İzmir, Turkey
Abstract
In this paper, we obtain one-sided and two-sided Tauberian conditions of
Landau and Hardy types for (C,1,0) and (C,0,1) summability methods for
improper double integrals under which convergence of improper double
integrals follows from (C,1,0) and (C,0,1) summability of improper
double integrals. We give similar results for (C,1,1) summability method
of improper double integrals. In general, we obtain Tauberian conditions in
terms of the concepts of slowly decreasing (resp. oscillating) and strong
slowly decreasing (resp. oscillating) functions in different senses for
Ces?ro summability methods of real or complex-valued locally integrable
functions on [0,?) x [0,?) in different senses.
Publisher
National Library of Serbia