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Dini's theorem
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Mathematics
Area of mathematics
Analysis
Real analysis
Sequence and series
Uniform convergence
Created
2026-09-28
Updated
2026-10-03
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Dini's theorem
says that
a
monotone sequence
of continuous
real-valued functions
on
a
compact space
that converges
pointwise
to
a
continuous function
converges uniformly.
Ancestors
(7)
Uniform convergence
Sequence and series
Real analysis
Analysis
Area of mathematics
Mathematics
Home
Incoming links
(7)
Attouch--Wets topology
Dini test for Fourier series
Past exam of the mathematics course of the University of Cambridge
/
2001
/
ib
/
Paper 4
/
10A
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2001
/
iii
/
Paper 58
/
6
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2009
/
ii
/
Paper 3
/
21H
/
c
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2018
/
ib
/
Paper 3
/
12F
/
c
/
Solution
Polynomial recurrence for the absolute value
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(1)
codex/dini-theorem
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