- Konuralp Journal of Mathematics
- Vol: 5 Issue: 1
- HERMITE-HADAMARD TYPE INEQUALITIES FOR THE PRODUCT TWO MAPPINGS WHOSE DERIVATIVES ABSOLUTE VALUES AR...
HERMITE-HADAMARD TYPE INEQUALITIES FOR THE PRODUCT TWO MAPPINGS WHOSE DERIVATIVES ABSOLUTE VALUES ARE $s$-CONVEX
Authors : M. Shafiei, A. G. Ghazanfari
Pages : 123-131
View : 10 | Download : 3
Publication Date : 2017-04-01
Article Type : Research
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