This paper presents a certain method to determine the range of variability of some functionals defined in Generalized Caratheodory Class ( i.e the class of analytic functions in the unit disk of the form:
where is a non decreasing function on the in
terval such that ). It has been proved that the range of variability of functional
where is a polynomial in , is the closed disc with and precisely determined . Also the range of variability of some other functional determined
This paper presents a certain method to determine the range of variability ( or the set of values) of some functionals defined in the Class (i.e the class of analytic functions in the unit disk
It have been shown in this class that the range of variability of the functional is the closed disk
The estimations of modulus of function and some other estimations related were also obtaind
