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Strong -Convexity and Separation Theorems

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  • Teodoro Lara
  • Nelson Merentes
  • Kazimierz Nikodem

Abstract

Jensen inequality for strongly -convex functions and a characterization of pairs of functions that can be separated by a strongly -convex function are presented. As a consequence, a stability result of the Hyers-Ulam type is obtained.

Suggested Citation

  • Teodoro Lara & Nelson Merentes & Kazimierz Nikodem, 2016. "Strong -Convexity and Separation Theorems," International Journal of Analysis, Hindawi, vol. 2016, pages 1-5, November.
    • Handle: RePEc:hin:ijanal:7160348
    DOI: 10.1155/2016/7160348
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    References listed on IDEAS

    as
    1. Vial, Jean-Philippe, 1982. "Strong convexity of sets and functions," Journal of Mathematical Economics, Elsevier, vol. 9(1-2), pages 187-205, January.
    2. VIAL, Jean-Philippe, 1982. "Strong convexity of sets and functions," LIDAM Reprints CORE 475, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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