Some fractional integral inequalities for p-functions

In this thesis, some new fractional integral inequalities for p-functions have been obtained by using some identities previously given in the literature with Hölder and Power mean integral inequalities. For this purpose, firstly, in the introduction part of the thesis, after giving a brief information about inequality theory, convex functions, integral inequalities, fractional derivative, fractional integral and some function classes, definition, theorem, sample and features related to convex functions were included in the source research section. Again, some function classes (Godunova-Levin Function, P-function) were defined. Hermite-Hadamard's Inequality Theorem for P-function has been proved. Finally Hermite-Hadamard fractional integral inequality was given for convex functions by Sarıkaya M.Z. and his colleagues. In the section on materials and methods, some inequalities and identities that used in the proofs of the research findings were included. In the research findings section, some new inequalities were obtained with the help of fractional integrals for the class of P-functions.