engleski

On (h,g;m)-convexity and the Hermite-Hadamard inequality

A new class of (h, g ; m)-convex functions is presented, together with its properties, thus generalizing several varieties of convexity such as (h−m)-convex functions, (s, m)-Godunova-Levin functions or exponentially (s, m)-convex functions. Also, the Hermite-Hadamard inequality for an (h, g ; m)-convex function is proved and some special results are pointed out.

convex function, Hermite-Hadamard inequality.

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