Integral means inequalities for some analytic functions classes

In the first chapter, definitions of univalent and p-valent functions, the theorems and their results for the functions belong to these classes and some their important subclasses of these classes are given. Additionally, by giving subordination principle, a background is made for calculating integral means inequalities. Furthermore, by making mention of fractional calculus, definitions of fractional calculus for analytic functions are given in this chapter. In the second chapter, by giving some integral inequalities, integral means inequalities are explicated. Moreover, in this chapter, the close relationship between Subordination principle and integral means is also given. In the first and second chapters, by the aim to avoid unnecessary repeats and not damage the completeness of topics, to show references which can be straightforwardly obtained is prefered for the proofs. In the third and fourth chapters, we have calculated integral means inequalities for p-valent functions. Moreover, theorems that are proved in these chapters are supported with examples. In the fifth chapter, as distinct from in third and fourth chapters, integral means inequalities for multivalent functions are calculated by using fractional calculus. Finally, in the sixth chapter, a new subclass of analytic functions involving Generalized Salagean operator is defined. Coefficient inequalities and extreme points for the functions in this class are calculated. Furthermore, integral means inequalities are given for this class.