Characterization of the equality of Cauchy means to quasiarithmetic means
Rezső L. Lovas; Zsolt Páles; Amr Zakaria;
Abstract
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.
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.
Other data
| Title | Characterization of the equality of Cauchy means to quasiarithmetic means | Authors | Rezső L. Lovas; Zsolt Páles; Amr Zakaria | Keywords | Mathematics - Classical Analysis and ODEs; Mathematics - Classical Analysis and ODEs; 39B40, 26E60 | Issue Date | 22-Jul-2019 | Journal | Journal of Mathematical Analysis and Applications | ISSN | 0022247X | DOI | 10.1016/j.jmaa.2019.123700 |
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