Means in money exchange operations

• Autorzy: Bojarski Jacek , Matkowski Janusz

Identyfikatory

DOI

10.17512/jamcm.2023.1.01

• Języki publikacji: EN

Abstrakty

EN

It is observed that in some money exchange operations, every n-variable mean M applied by two market analysts who are acting in different countries should be self reciprocally conjugate. The main result says that the only homogeneous weighted quasi-arithmetic mean satisfying this condition is the weighted geometric mean. In the context of invariance of the geometric mean with respect to the arithmetic-harmonic mean-type mapping, the possibility of the occurring reciprocal-conjugacy in technical sciences is commented.

Słowa kluczowe

EN

mean; money exchange; weighted quasiarithmetic mean; functional equation

PL

średnia; wymiana pieniędzy; ważona średnia quasi-arytmetyczna; równanie funkcyjne

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2023
• Tom: Vol. 22, nr 1
• Strony: 5--16
• Opis fizyczny: Bibliogr. 18 poz.

Twórcy

autor

Bojarski Jacek

• Institute of Mathematics, University of Zielona Góra, Zielona Góra, Poland

autor

Matkowski Janusz

• Institute of Mathematics, University of Zielona Góra, Zielona Góra, Poland

Bibliografia

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• [16] Kuczma, M. (1985). An Introduction to the Theory of Functional Equations and Inequalities: Cauchy’s Equation and Jensen’s Inequality. Warszawa: Polish Scientific Editors and Silesian University.
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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).