Rezső L. Lovas, Zsolt Páles, Amr Zakaria
Published 2019-07-22Version 1
The main result of this paper provides six necessary and sufficient conditions under various regularity assumptions for a so-called Cauchy mean to be identical to a two-variable quasiarithmetic mean. One of these conditions says that a Cauchy mean is quasiarithmetic if and only if the range of its generating functions is covered by a nondegenerate conic section.
Characterization of generalized quasi-arithmetic means
A new characterization of Sobolev spaces on $\mathbb{R}^n$
Characterization of certain sequences of $q$-polynomials
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