%0 Journal Article %T ON THE BEHAVIOR NEAR THE ORIGIN OF THE SUM OF SINE SERIES WITH THIRD SEMI-CONVEX COEFFICIENTS %A Naim L. Braha %J Journal of Mathematical Analysis %D 2010 %I %X 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. %K sine sums %K third semi-convex null sequences %K behavior near the origin. %U http://82.114.83.194/ilirias/jma1/repository/docs/JMA2-1-2.pdf