Involutions and iterates of central dispersions
Iterated quasi-arithmetic mean-type mappings
We work with a fixed N-tuple of quasi-arithmetic means generated by an N-tuple of continuous monotone functions (I an interval) satisfying certain regularity conditions. It is known [initially Gauss, later Gustin, Borwein, Toader, Lehmer, Schoenberg, Foster, Philips et al.] that the iterations of the mapping tend pointwise to a mapping having values on the diagonal of . Each of [all equal] coordinates of the limit is a new mean, called the Gaussian product of the means taken on b. We effectively...
Iteration groups generated by functions
Iteration semigroups with generalized convex, concave and affine elements.
Iterations and logarithms of formal automorphisms.
Iterations over quaternions.
Iterative characterizations of powers and exponentials.
Iterative Pexider equation modulo a subset.