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Modulus of continuity

  1. Jan 12, 2010 #1
    If f is an even function on [-a,a] , show that ω(f;[-a,a];δ) = ω(f;[0,a];ε) .

    help will be appreciated so much
     
  2. jcsd
  3. Jan 12, 2010 #2
    Could you explain your notation? It's not entirely standard.
     
  4. Jan 12, 2010 #3
    ω(f;[a,b];δ)= sup |f(x)-f(y)| that x,y ϵ[a,b] and |x-y|≤δ
     
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