On the uniform convergence of weighted trigonometric series
Bogdan Szal
Banach Center Publications, Tome 95 (2011), p. 339-350 / Harvested from The Polish Digital Mathematics Library
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In the present paper we consider a new class of sequences called GM(β,r), which is the generalization of a class defined by Tikhonov in [15]. We obtain sufficient and necessary conditions for uniform convergence of weighted trigonometric series with (β,r)-general monotone coefficients.

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:282081 
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     author = {Bogdan Szal},
     title = {On the uniform convergence of weighted trigonometric series},
     journal = {Banach Center Publications},
     volume = {95},
     year = {2011},
     pages = {339-350},
     zbl = {1231.42007},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc92-0-23}
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Bogdan Szal. On the uniform convergence of weighted trigonometric series. Banach Center Publications, Tome 95 (2011) pp. 339-350. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc92-0-23/