FEKETE-SZEGO TYPE INEQUALITIES FOR CLASSES OF ANALYTIC FUNCTIONS DEFINED BY USING THE MODIFIED DZIOK-SRIVASTAVA AND THE OWA-SRIVASTAVA FRACTIONAL CALCULUS OPERATORS

By making use of the operator K-lambda 1,lambda 2(m,r,s) f (z) which was previously defined as a generalization of Dziok-Srivastava operator [19, 17], the new class S*(phi, m, r, s, lambda(1), lambda(2)) was introduced and sharp upper bounds of vertical bar a(3) - mu a(2)(2)| for the functions belonging to it were determined. Furthermore, Fekete-Szego inequalities for certain classes of functions defined through fractional derivatives were also solved out in the sight of Owa-Srivastava fractional calculus operators.