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hal-00708999, version 1

On Convergence of Non-Monotone Series. A Letter.

Jyothiniranjan Pillay () 1, 2, 3

(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
  • http://hal.archives-ouvertes.fr/hal-00708999
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  • From: Jyothiniranjan Pillay <>
  • Submitted on: Saturday, 16 June 2012 17:41:22
  • Updated on: Sunday, 17 June 2012 15:47:29