On the properties of McShane's functional and their applications (CROSBI ID 182151)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Krnić, Mario ; Lovričević, Neda ; Pečarić, Josip
engleski
On the properties of McShane's functional and their applications
In this paper we derive some remarkable properties of McShane's functional, defined by means of positive isotonic linear functional. These properties are then applied to weighted generalized means. Series of consequences among additive and multiplicative type mean inequalities is given, as well as a special consideration of Holder's inequality, in view of the new results.
inequalities ; convex functions ; Jensen's inequality ; Jessen's functional ; McShane's functional ; superadditivity ; subadditivity ; monotonicity ; weighted generalized means ; additive inequalities ; multiplicative inequalities ; Holder type inequalities ; Minkowski type inequalities ; quasiarithmetic means ; n-convexity
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Podaci o izdanju
66 (2)
2013.
159-180
objavljeno
0031-5303
1588-2829
10.1007/s10998-013-3571-2