Ruscheweyh-type harmonic functions with correlated coefficients


Jacek Dziok




In the paper we introduce the classes of functions with correlated coefficients defined by generalized Ruscheweyh derivatives. We also define the dual set for harmonic functions and show that the classes of functions can be presented as dual sets. Moreover, by using extreme points theory, we obtain estimations of classical convex functionals on the defined classes of functions. Some applications of the main results are also considered