On Convergence of Non-Monotone Series. A Letter.

Jyothiniranjan Pillay (1, 2, 3, 4)

1 Institute of Actuaries Scotland
2 SAIP - South African Institute of Physics
3 University of Pretoria [South Africa]
4 BIOMEDIA - Autonomous Systems Laboratory

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

Mots clés: convergence of series; Fourier Series; Everywhere convergent; convergence of series.

Domaines: Mathématiques générales [math.GM]

Jyothiniranjan Pillay. On Convergence of Non-Monotone Series. A Letter.. 2007. ⟨hal-00708999⟩