HERMITE-HADAMARD TYPE INEQUALITIES FOR THE PRODUCT TWO MAPPINGS WHOSE DERIVATIVES ABSOLUTE VALUES ARE $s$-CONVEX

Abstract

In this paper, we extend some estimates of the right hand side of a Hermite-Hadamard type inequality for the product two differentiable functions whose derivatives absolute values are $s$-convex. Some natural applications to special weighted means of real numbers are given. Finally, an error estimate for the Simpson's formula is also addressed.

Keywords

• Hermite-Hadamard inequality,differentiable functions,$s$-convex functions,convex functions

References

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