Abstract.
We define Lagrangian means as those obtained from applying the classical mean value formula to a strictly convex regular function. We show that there is a close relationship between Lagrangian and quasiarithmetic means which can be made explicit through a homeomorphism. This leads to the characterization of Lagrangian means in terms of the associated quasiarithmetic ones.
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Received: February 15, 1996; revised version: November 18, 1996
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Berrone, L., Moro, J. Lagrangian means. Aequ. Math. 55, 217–226 (1998). https://doi.org/10.1007/s000100050031
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DOI: https://doi.org/10.1007/s000100050031