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Characterizing the pseudoconvexity of a wide class of generalized fractional functions

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  • Laura Carosi
  • Laura Martein

Abstract

We consider a wide class of generalized fractional functions, namely the sum between a linear one and a ratio which has an affine function as numerator and, as denominator, the p-th power of an affine one. For this class of functions we aim to derive necessary and/or sufficient conditions for pseudoconvexity on the nonnegative orthant. The obtained conditions are very easy to be checked and allow us to construct several subclasses of pseudoconvex generalized fractional functions.

Suggested Citation

  • Laura Carosi & Laura Martein, 2013. "Characterizing the pseudoconvexity of a wide class of generalized fractional functions," Discussion Papers 2013/172, Dipartimento di Economia e Management (DEM), University of Pisa, Pisa, Italy.
    • Handle: RePEc:pie:dsedps:2013/172
    Note: ISSN 2039-1854
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    File URL: https://www.ec.unipi.it/documents/Ricerca/papers/2013-172.pdf
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    References listed on IDEAS

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    1. Laura Carosi & Laura Martein, 2008. "A sequential method for a class of pseudoconcave fractional problems," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 16(2), pages 153-164, June.
    2. Alberto Cambini & Laura Martein, 2009. "Generalized Convexity and Optimization," Lecture Notes in Economics and Mathematical Systems, Springer, number 978-3-540-70876-6, December.
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    Cited by:

    1. Laura Carosi, 2017. "Pseudoconvexity on a closed convex set: an application to a wide class of generalized fractional functions," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 40(1), pages 145-158, November.

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    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis

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