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.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1177,
author = {Krzysztof Duzinkiewicz},
title = {On the uniform convergence of sine, cosine and double sine-cosine series},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
volume = {36},
year = {2016},
pages = {87-116},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1177}
}
Krzysztof Duzinkiewicz. On the uniform convergence of sine, cosine and double sine-cosine series. Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 36 (2016) pp. 87-116. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1177/
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