# On Convergence of Non-Monotone Series. A Letter.

1 Institute of Actuaries Scotland 2 SAIP - South African Institute of Physics 3 UP - University of Pretoria Dept. Physics 4 BIOMEDIA - Autonomous Systems Laboratory

Abstract : We hope to bring to a close the analyses of the convergence of real valued series of the form $\Sigma fn | n \in N$ for differentiable functions, via the introduction of a theorem as a necessary condition for convergence of such series regardless of the nature of $f$.

Keywords : convergence of series Fourier Series Everywhere convergent convergence of series.

Author: Jyothiniranjan Pillay -

Source: https://hal.archives-ouvertes.fr/