REFINING JENSENS INTEGRAL INEQUALITY FOR DIVISIONS OF MEASURABLE SPACE

S. S. Dragomir

Abstract


In this paper we establish a refinement and some reverses forJensens inequality for the general Lebesgue integral on divisions of measurablespace. Applications for discrete inequalities and weighted means of positivenumbers are also given. Some examples related to Hermite-Hadamard inequal-ity for convex functions are provided as well.

Keywords


Jensen’s inequality,.Convex functions, Lebesgue integral, Weighted means

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