Modulus of Continuity - Examples of Use

Examples of Use

  • Let a continuous function. In the proof that is Riemann integrable, one usually bounds the distance between the upper and lower Riemann sums with respect to the Riemann partition in terms of the modulus of continuity of f and the modulus of the partition :
  • For an example of use in the Fourier series, see Dini test.

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