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Companions of Hermite-Hadamard inequalities for convex functions defined on the positive axis in the case when the integral has either the weight 1 t 2 or 1 t , t > 0 are given. Applications for special means are provided as well. Subjclass : 26D15; 25D10.doi:10.4067/s0716-09172014000400001 fatcat:v77t4hfhgzg4pfibrdjnvboe3u