On the properties of McShane's functional and their applications
Periodica Mathematica Hungarica, 2013•Springer
In this paper we derive some remarkable properties of McShane's functional, defined by
means of positive isotonic linear functionals. These properties are then applied to weighted
generalized means. A series of consequences among additive and multiplicative type mean
inequalities is given, as well as a special consideration of Hölder's inequality, in view of the
new results.
means of positive isotonic linear functionals. These properties are then applied to weighted
generalized means. A series of consequences among additive and multiplicative type mean
inequalities is given, as well as a special consideration of Hölder's inequality, in view of the
new results.
Abstract
In this paper we derive some remarkable properties of McShane’s functional, defined by means of positive isotonic linear functionals. These properties are then applied to weighted generalized means. A series of consequences among additive and multiplicative type mean inequalities is given, as well as a special consideration of Hölder’s inequality, in view of the new results.
Springer
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