engleski

Refinements of Jessen's functional

In this paper we obtain new refinements of Jessen's functional, defined by means of positive linear functionals. Derived results are then applied to weighted generalized and power means. We also obtain new refinements of numerous classical inequalities such as arithmetic-geometric mean inequality, Young's inequality and Holder's inequality.

convex functions, Jensen's functional, Jensen-Steffensen's functional, Jessen's functional superadditivity

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