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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.