An Inequality for a Linear Discrete Operator Involving Convex Functions

نویسنده

  • ADRIAN HOLHOŞ
چکیده

For the functional A[ f ] = ∑k=1 ak f (zk) , we give necessary and sufficient conditions over the real numbers zk , such that, the inequality A[ f ] 0 , holds for some classes of convex functions. Then, we deduce an inequality related to Alzer’s inequality and a weighted majorization inequality.

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تاریخ انتشار 2009