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.
Cite this paper
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.
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