Geodesic
On the uniform convergence of sine, cosine and double sine-cosine series
Discussiones Mathematicae. Differential Inclusions, Control and Optimization, Tome 36 (2016) no. 1, pp. 87-116.

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In this paper we define new classes of sequences GM(β,r) and DGM(α,β,γ,r). Using these classes we generalize and extend the P. Kórus results concerning the uniform convergence of sine, cosine and double sine-cosine series, respectively.
Keywords: sine series, cosine series, double sine-cosine series, uniform convergence, generalized monotonicity 
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Duzinkiewicz, Krzysztof. On the uniform convergence of sine, cosine and double sine-cosine series. Discussiones Mathematicae. Differential Inclusions, Control and Optimization, Tome 36 (2016) no. 1, pp. 87-116. http://geodesic.mathdoc.fr/item/DMDICO_2016_36_1_a5/

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