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

Keywords: sine sums , third semi-convex null sequences , behavior near the origin.

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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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