engleski

n-exponential convexity for Levinson type inequalities and related Stolarsky type means

Starting from the result given in \cite{;neuman}; where the author gave the generalized Hadamard inequality, we give the generalizations of Levinson's inequality (see \cite{;vida};) and related inequalities. Also, we investigate the exponential convexity of differences of the left-hand and right-hand side of these inequalities. Using these differences, we produce new exponentially convex functions. They are used in studying Stolarsky type means.

Levison inequality; $n$-convex function; $n$-exponentially convexity; means.

nije evidentirano