Authors
Citation
Ub. Darji, LIMITS OF DIFFERENTIABLE FUNCTIONS, Proceedings of the American Mathematical Society, 124(1), 1996, pp. 129-134
Citations number
7
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
ISSN journal
00029939
Volume
124
Issue
1
Year of publication
1996
Pages
129 - 134
Database
ISI
SICI code
0002-9939(1996)124:1<129:LODF>2.0.ZU;2-Y
Abstract
Suppose that {f(n)} is a sequence of differentiable functions defined
on [0,1] which converges uniformly to some differentiable function f,
and {f'(n)} converges pointwise to some function g. Let M = {x : f'(x)
not equal g(x)} In this paper we characterize,such sets M under vario
us hypotheses. It follows from one of our characterizations that M can
be the entire interval [0,1].