Convex funtions

For certain classes of analytic functions fi, gi and hi, i=1,..., n in the open unit disk U, we define a new general integral operator Hn(z) = R z 0 Qn i=1 fi(t) hi(t)αi (g'i (t))yi dt and we study convexity properties of this integral operator. Keywords: Analytic functions, integral operators, convexity order, convex funtions, order.

12p tamynhan5 10-12-2020 11 1   Download