L20_A
證明的思維與形式講解
證明的思維與形式講解
Chapter 5 Uniform Convergence
5.1 Pointwise and uniform convergence
(1)Definition
L20_B
5.1 Pointwise and uniform convergence(cont.)
5.1 Pointwise and uniform convergence(cont.)
Question:
a.是否收斂?
b.if fk converge,relation between f,fk?
c.收斂速度
L20_C
5.1 Pointwise and uniform convergence(cont.)
5.1 Pointwise and uniform convergence(cont.)
Remark:
a.uniform convergence => convergence
b.In condition ρ
c.fk->f not uniformly on A,ρ
L20_D
5.1 Pointwise and uniform convergence(cont.)
5.1 Pointwise and uniform convergence(cont.)
(1) example
(2) Theory