engleski

Positivity of sums for n-convex functions via Taylor's formula and Green function

Conditions under which the inequality ∑ im=1 pif (xi) ≥ 0 holds for every n-convex function f are considered. We are using two approaches: one by the Taylor formula and other using the Green function. Integral analogues and some related results for n-convex functions at a point are also given, as well as bounds for the integral remainders which occur in identities associated with the obtained inequalities.

Green function ; Log-convexity ; N-convex function ; N-convex function at a point ; Taylor formula

nije evidentirano