grandes-ecoles 2016 Q9a

grandes-ecoles · France · x-ens-maths2__mp Not Maths Uniform or Pointwise Convergence of Function Series/Sequences
In the formula $f(x) = \sum_{i=0}^{+\infty} q_i g\left(x - y_i\right)$, show that the convergence of the series is normal on every segment of $\mathbb{R}$. One may use question 3c.
In the formula $f(x) = \sum_{i=0}^{+\infty} q_i g\left(x - y_i\right)$, show that the convergence of the series is normal on every segment of $\mathbb{R}$. One may use question 3c.