A remark on the arithmetic mean of an infinite sequence

Authors:
L. González;E. Muel;R. Mesiar
Affiliations:
Dept. of Computer, Science Alcalá University, 28871-Alcalá de Henares, Spain;Dept. of Computer, Science Alcalá University, 28871-Alcalá de Henares, Spain;Dept. of Mathematics, Slovak Technical University, 81368-Slovak Republic and Academy of Sciences of the Czech Republic, 18208-Czech Republic
Venue:
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
Year:
2002

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Abstract

We discuss several aspects of the generalization of the arithmetic mean for infinite sequences. It is shown that no operator on infinite sequences can posses all properties of the classical arithmetic mean. Some alternative operators are introduced and their properties compared.