On natanson type integral inequalities

This thesis study consists of three parts. In the first and second parts of the thesis, explanatory and useful examples are given along with some definitions and theorems that we can use in other chapters. In the third chapter, proof of some Natanson type integral inequalities is given. The lemma given by Natanson has been generalized by various authors as an answer to the problem of representation of an integrable function at characteristic points and used in applications in singular integral theory. Some generalizations of this inequality have been brought to the literature by Mamedov, Taberski, and Gadjiev. In this thesis, various generalizations of the integral inequality given in the Natanson Lemma from Natanson to S. Siudut have been examined and compiled.