Hadamard-Type Inequalities for s¡Convex Functions I (original) (raw)

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.

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. ________________________________________________________________________________________________

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 Hadamard-Type Inequalities for Differentiable m-Convex Functions

arXiv (Cornell University), 2011

In this paper some new inequalities are proved related to left hand side of Hermite-Hadamard inequality for the classes of functions whose derivatives of absolute values are m−convex. New bounds and estimations are obtained. Applications for some Theorems are given as well. 2000 Mathematics Subject Classification. 26D15.

On some inequalities for s-convex functions and applications

Journal of Inequalities and Applications, 2013

Some new results related to the left-hand side of the Hermite-Hadamard type inequalities for the class of functions whose second derivatives at certain powers are s-convex functions in the second sense are obtained. Also, some applications to special means of real numbers are provided. MSC: Primary 26A51; 26D15