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

Tunç M.

Demonstratio Mathematica

2013

Vol. 46, nr 3

475--483

In this paper, two new integral inequalities of Hadamard-type for product of m and (α, m)-convex functions and their applications for special means are given.

On quasi convex functions and Hadamard's inequality

Tseng K., Tseng K., Yang G., Dragomir S.

Demonstratio Mathematica

2008

Vol. 41, nr 2

323-336

In this paper we establish some inequalities of Hadamard's type involving Godunova-Levin functions, P-functions, quasi-convex functions, J-quasi-convex functions, Wright-convex functions and Wright-quasi-convex functions.

The Hadamard inequalities for s-convex functions in the second sense

Dragomir S., Fitzpatrick S.

Demonstratio Mathematica

1999

Vol. 32, nr 4

687-696

We derive some inequalities of Hadamard's type for s-convex functions in the second sense and give some applications connected with special means.

Hadamard's inequality for s-convex functions in the first sense and applications

Dragomir S., Fitzpatrick S.

Demonstratio Mathematica

1998

Vol. 31, nr 3

633-642

In this paper we extend the well-known Hadamard integral inequality which holds for convex functions to the case of s-convex functions in the first sense , which were considered by Orlicz and used in the theory of Orlicz spaces. Some applications for concrete mappings are also given.