Uniform and Pointwise Convergence

Related BrainMass Solutions

• Fourier Series - Uniform and Pointwise Convergence Problem

  Uniform an pointwise convergence of a Fourier Series is investigated on an interval and across the entire real line.

• Sequence of Continuous Function, Uniform Convergence and Pointwise Convergence

  Sequences of Continuous Function, Uniform Convergence and Pointwise Convergence are investigated. The solution is detailed and well presented.

• Uniform Convergence of a Series Explained in Plain Words

  One N works for all x -- that is the major difference between pointwise and uniform convergence. The uniform convergence is dependent on the interval for x.

• Showing that convergence is not uniform

  It can be shown that the sequence {fk } infinity , k=1, converges to 0 pointwise on [0, +oo) but convergence is not uniform on [0, +oo). a) Show that convergence is not uniform on [0, 1] either.

• pointwise limits

  Here's a reference for you on pointwise and uniform limits. http://docs.google.com/viewer?

• pointwise limit

  Let us first calculate the pointwise limit We know that for all x in (-1, 1) Hence the maximum value of is 1 if as Now, Hence the convergence is uniform. Now, differentiating , we get and for all a in (-1, 1).

• Point Wise Limit Function

  293675 Determine if Sequences of Functions Converges Pointwise: Example Determine whether each of the following sequences of functions converges pointwise. If so determine if the convergence is uniform. See attachment for clarity.

• uniform convergence and proof

  This post deals with uniform convergence and proofs.

• Complex Variables, Laurent Series and Uniform Convergence

  Complex variables, laurent series and uniform convergence are investigated. The solution is detailed and well presented.