On the partial sums, Cesáro and de la Valleé Poussin means of convex and starlike functions of order 1/2 (Q1917778)

A sequence \((b_n)_{n\in\mathbb{N}}\) is said to be a subordinating factor sequence byt he authors if, whenever \(f(z)=z+\sum^\infty_{n=2}a_nz^n\) is a convex function we have \(\sum^\infty_{n=1}a_nb_nz^n\prec f(z)\), where \(\prec\) means subordination in the unit disc. They find some new examples for such sequences.