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ON THE BEHAVIOR NEAR THE ORIGIN OF THE SUM OF SINE SERIES WITH THIRD SEMI-CONVEX COEFFICIENTS

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Author(s): Naim L. Braha

Journal: Journal of Mathematical Analysis
ISSN 2217-3412

Volume: 1;
Issue: 2;
Start page: 9;
Date: 2010;
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Keywords: sine sums | third semi-convex null sequences | behavior near the origin.

ABSTRACT
In this paper we study the behavior of the sine series given byrelation:g(x) =1Xk=1ak sin kx;in case where x ! 0 and coecients (ak) are third semi-convex which tendingto zero.
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