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February 11th, 2009, 08:40 PM
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| |  Uniform convergence
Is a horizontal line uniformly convergent??
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February 11th, 2009, 09:26 PM
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Quote:
Originally Posted by Benmath  Is a horizontal line uniformly convergent??
Thanks. | as in  for all  and  converging uniformly to  (where  is a constant)?
you tell me, does this satisfy the definition of what it means to be uniformly convergent?
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February 11th, 2009, 09:35 PM
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I would say yes it is uniformly convergent. I have a line x=2.
So f_n(x)=2 and f(x)=2. Their difference is 0 implying uniform convergence. |
February 11th, 2009, 09:42 PM
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Quote:
Originally Posted by Benmath I would say yes it is uniformly convergent. I have a line x=2.
So f_n(x)=2 and f(x)=2. Their difference is 0 implying uniform convergence. | x = 2 is a vertical line. so unless you are interpreting it like  or something, it won't make sense. but yeah, a difference of zero everywhere implies uniform convergence
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February 11th, 2009, 09:45 PM
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Oops that was dumb, I meant the line y=2. Sorry. Thank you! | | Thread Tools | | | | Display Modes |  Linear Mode | 
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