engleski

Abel-Gontscharo® interpolating polynomial and some inequalities for convex functions of higher order,

In this paper we prove some inequalities for convex function of a higher order. The Abel - Gontscharoff interpolating polynomial with two- point right focal conditions leads us to an inequality like converse of Jensen inequality for a regular, signed measure and, as a consequence, some generalization of Hadamard and Petrovic's inequalities.

Jensen inequality ; Hadamard inequality ; Petrovic inequality ; Abel - Gontscharoff interpolating polynomial ; -convex function

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