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On some inequalities of Hermite–Hadamard type via m-convexity

Abstract In this paper we give some estimates to the right-hand side of Hermite–Hadamard inequality for functions whose absolute values of second derivatives raised to positive real powers are m -convex.

New inequalities of hermite-hadamard type for convex functions with applications

In this paper, some new inequalities of the Hermite-Hadamard type for functions whose modulus of the derivatives are convex and applications for special means are given. Finally, some error estimates for the trapezoidal formula are obtained.2000 Mathematics Subject Classiffication. 26A51, 26D10, 26D15.

New inequalities of Hermite–Hadamard type via s-convex functions in the second sense with applications

Abstract In this paper, we establish some new inequalities of Hermite–Hadamard type whose derivatives in absolute value are s-convex in the second sense. Finally some applications to special means of positive real numbers are given.

Hermite-Hadamard-type inequalities via (α,m)-convexity

In this paper, we establish several new inequalities for functions whose second derivative in absolute value aroused to the qth(q>=1) power are (@a,m)-convex. Some applications to special means of positive real numbers are also given.

Inequalities for convex and s-convex functions on Δ = [a, b] × [c, d]

In this article, two new lemmas are proved and inequalities are established for co-ordinated convex functions and co-ordinated s-convex functions.Mathematics Subject Classification (2000): 26D10; 26D15.

TWO NEW INTEGRAL INEQUALITIES VIA CONVEX FUNCTIONS

In this paper, we establish two new inequalities which contain the right hand side of Hermite‐Hadamard inequality, the left hand side of Hermite‐Hadamard inequality and Simpson type inequality for convex functions.