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hal-00708999, version 1

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

Jyothiniranjan Pillay () 123

(2007-06-29)

Abstract: 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 $f$.

• 1:  Institute of Actuaries Scotland
• Member
• 2:  South African Institute of Physics (SAIP)
• Affiliate Researcher
• 3:  University of Pretoria Dept. Physics (UP)
• Research Associate
• Domain : Mathematics/General Mathematics
• Keywords : Fourier Series – Everywhere convergent – convergence of series.

• hal-00708999, version 1
• oai:hal.archives-ouvertes.fr:hal-00708999
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• Submitted on: Saturday, 16 June 2012 17:41:22
• Updated on: Sunday, 17 June 2012 15:47:29