Generalized convex functions

This study consists of six parts. The first part is Introduction. There are basic consepts which are necessary for our study in the second part. In the third part, we analysed convex functions on real plane. In the fourth part, we handled definition and theorem of generalized convex functions. In the fifth part, we analysed generalizations on inequalities and generalizations Convex functions. Six part includes Discussion and Conclusion sections. Key words: Convex functions, Strongly convex functions, 𝜂- convex functions, ℎconvex functions, 𝑝- convex functions, Hermite-Hadamard inequalities, Jensen's inequalities