engleski

Jessen's functional, its properties and applications

In this paper we consider Jessen's functional, defined by means of positive isotonic linear functional, and investigate its properties. Derived results are then applied to weighted generalized and power means, which yields extensions of some recent results, known from the literature. In particular, we obtain the whole series of refinements and conversions of numerous clasical inequalities such as arithmetic-geometric mean inequality, Young's inequality and Hoelder's inequality.

Inequalities; convex function; Jensen's inequality; Jessen's inequality; isotonic functional; Jessen's functional; superadditivity; subaditivity; monotonicity; arithmetic-geometric mean inequality; Young's inequality; Hoelder's inequality

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