Skip to main content
SpringerLink
Log in

Lagrangian means

  • Published:
aequationes mathematicae Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Instituto de Matemática "Beppo Levi" Universidad Nacional de Rosario, A. Pellegrini, 250, 2000 Rosario, Argentina, e-mail: berrone@unrctu.edu.ar, , , , , , AR

    L. R. Berrone

  2. Departamento de Matemáticas, Universidad Carlos III, Butarque, 15, E-28911 Leganés, Madrid, Spain, e-mail: jmoro@dulcinea.uc3m.es, , , , , , ES

    J. Moro

Authors
  1. L. R. Berrone
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. J. Moro
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received: February 15, 1996; revised version: November 18, 1996

Rights and permissions

Reprints and permissions

About this article

Cite this article

Berrone, L., Moro, J. Lagrangian means. Aequ. Math. 55, 217–226 (1998). https://doi.org/10.1007/s000100050031

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s000100050031

Keywords

Search

Navigation