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Contrasting Two Transformation-based Methods for Obtaining Absolute Extrema

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Abstract

In this note, we contrast two transformation-based methods to deduce absolute extrema and the corresponding extremizers. Unlike variation-based methods, the transformation-based methods of Carlson and Leitmann and the recent one of Silva and Torres are direct in that they permit obtaining solutions by inspection.

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Authors and Affiliations

  1. Department of Mathematics, University of Aveiro, Aveiro, Portugal

    D. F. M. Torres

  2. Graduate School, College of Engineering, University of California, Berkeley, CA, USA

    G. Leitmann

Authors
  1. D. F. M. Torres
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  2. G. Leitmann
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Corresponding author

Correspondence to D. F. M. Torres.

Additional information

Communicated by D.A. Carlson.

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Torres, D.F.M., Leitmann, G. Contrasting Two Transformation-based Methods for Obtaining Absolute Extrema. J Optim Theory Appl 137, 53–59 (2008). https://doi.org/10.1007/s10957-007-9292-z

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  • DOI: https://doi.org/10.1007/s10957-007-9292-z

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