Integral inequalities involving euler beta functions and mean inequalities

This thesis will be on integral inequalities and mean inequalities involving Euler beta functions. This thesis has been prepared in five parts, the first part of this study is introductory and in the second part some definitions, theorems and important inequalities used in the preparation of the thesis are given. In the third chapter, average inequalities and some applications of it are examined with the help of weighted Jensen inequality. In the fourth chapter, integral inequalities and mean inequalities including Euler beta functions are examined. In the fifth chapter, which is the last part of the thesis, some results are proved and suggestions for further studies are given.