ISSN:
1420-8903
Keywords:
Keywords. Symmetric means, Cauchy mean value theorem, mixing operator, bisymmetry equation.
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Summary. Cauchy means are defined as those obtained from applying the Cauchy mean value theorem to a pair of suitable functions. A so-called mixing operator is defined, in such a way that each Cauchy mean is the unique fixed point of the mixing operator associated with two quasiarithmetic means. As a consequence, some comparison results for Cauchy means are obtained, together with a functional characterization relating a subclass of Cauchy means, the so-called anti-Lagrangian means, with quasiarithmetic ones.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s000100050131
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