A General Theorem on the Conditional Convergence of Trigonometric Series ()
Abstract
The purpose of this paper is to establish, paralleling a well-known result for definite integrals, the conditional convergence of a family of trigonometric sine series. The fundamental idea is to group appropriately the terms of the series in order to show absolute divergence of the series, given the well-established result that the series as it stands is convergent.
Share and Cite:
E. Cohen Jr., "A General Theorem on the Conditional Convergence of Trigonometric Series,"
Open Journal of Discrete Mathematics, Vol. 3 No. 1, 2013, pp. 16-17. doi:
10.4236/ojdm.2013.31003.
Conflicts of Interest
The authors declare no conflicts of interest.
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