On some inequalities for s-convex functions and applications (original) (raw)

Some inequalities of Hermite-Hadamard type for s-convex functions

Acta Mathematica Scientia, 2011

In this paper, some generalized Hermite-Hadamard type inequalities for n-times differentiable (ρ, m)geometrically convex function are established. The new inequalities recapture and give new estimates of the previous inequalities for first differentiable functions as special cases. The estimates for trapezoid, midpoint, averaged mid-point trapezoid and Simpson's inequalities can also be obtained for higher differentiable generalized geometrically convex functions.

ON SOME NEW INEQUALITIES FOR s -CONVEX FUNCTIONS

2012

In this paper some new Hadamard-type inequalities for s -convex functions are estalished by using fairly elementary analysis. ________________________________________________________________________________________________

Hadamard-type inequalities for s-convex functions

Applied Mathematics and Computation, 2007

In this paper we establish some new inequalities for differentiable functions based on concavity and s-convexity. We also prove several Hadamard-type inequalities for products of two convex and s-convex functions.