Hermite-Hadamard type inequalities with applications
2017
artykuł naukowy
angielski
- convex functions
- ƒ-divergence
- Hermite-Hadamard’s inequality
- means
- trapezoidal formula
EN In this article first, we give an integral identity and prove some Hermite-Hadamard type inequalities for the function ƒ such that |ƒ''|q is convex or concave for q ≥ 1. Second, by using these results, we present applications to ƒ-divergence measures. At the end, we obtain some bounds for special means of real numbers and new error estimates for the trapezoidal formula.
57 - 74
CC BY-NC-ND (uznanie autorstwa - użycie niekomercyjne - bez utworów zależnych)
publiczny
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