On Hermite-Hadamard type inequalities for functions whose first derivative absolute values are convex and concave
2017
scientific article
english
- Hermite-Hadamard inequality
- convex functions
- power-mean inequality
- Hölder’s inequality
- special means
- mid-point formula.
EN In this paper, we derive general integral identity by establishing new Hermite-Hadamard type inequalities for functions whose absolute values of derivatives are convex and concave. Corresponding error estimates for midpoint formula are also included. Moreover, some applications to special means of real numbers are also provided.
155 - 166
CC BY-NC-ND (attribution - noncommercial - no derivatives)
public
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