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On φ-convex functions

On φ-convex functions

In this paper we introduce the notion of ϕ -convex functions as generalization of convex functions.Some basic results under various conditions for the function ϕ are investigated.Moreover, we establish Jensen and Hermite-Hadamard type inequalities related to ϕ -convex functions.Also, the notions of ϕ b -convex and ϕ E -convex functions, …