Invariance identity in the class of generalized quasiarithmetic means
Volume 137 / 2014
Colloquium Mathematicum 137 (2014), 221-228
MSC: Primary 26A17, 26E60, 39B22.
DOI: 10.4064/cm137-2-7
Abstract
An invariance formula in the class of generalized $p$-variable quasiarithmetic means is provided. An effective form of the limit of the sequence of iterates of mean-type mappings of this type is given. An application to determining functions which are invariant with respect to generalized quasiarithmetic mean-type mappings is presented.
