Jessen's functional, its properties and applications (CROSBI ID 176713)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Krnić, Mario ; Lovričević, Neda ; Pečarić, Josip
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
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
Podaci o izdanju
20 (1)
2012.
225-248
objavljeno
1224-1784