Abstract:We investigate a family of MϕA-h-convex functions, give some properties of it and several inequalities which are counterparts to the classical inequalities such as the Jensen inequality and the Schur inequality. We give the weighted Hermite-Hadamard inequalities for an MϕA-h-convex function and several estimations for the product of two functions.
We present Hermite–Hadamard–Fejér type inequalities for strongly MφMψ
-convex functions. Some refinements of them and bounds for the integral mean of the product of two functions are also obtained.
We present Hermite–Hadamard–Fejér type inequalities for strongly MφMψ
-convex functions. Some refinements of them and bounds for the integral mean of the product of two functions are also obtained.
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