engleski

Generalization of Jensen's inequality by Abel- Gontscharoff interpolating polynomial and related results

Using the Abel-Gontscharoff interpolating polynomials and the conditions on the Green’s functions, the results concerning for Jensen’s inequality and converses of Jensen’s inequality for signed measure, are presented. We consider the Cauchy’s error representation of Abel- Gontscharoff interpolating polynomial and as a consequence the results concerning to the Hermite-Hadamard inequalities.

Abel-Gontscharoff interpolating polynomials, Green function, Jensen inequality, converse of the Jensen inequality, (n)-convex functions.

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