The Fermat, Roll and Lagrange theorems are generalized into the class of nondifferentiable functions, the necessary and sufficient conditions for convexity of one variable functions are given.

Original languageEnglish
Pages (from-to)649-662
Number of pages14
JournalItalian Journal of Pure and Applied Mathematics
Issue number41
StatePublished - Feb 2019

    Scopus subject areas

  • Mathematics(all)

    Research areas

  • Almost periodic solution, Derived number, Dini-Hölder derived number, Nonsmooth analysis, Periodic solution, periodic solution, derived number, Dini-Holder derived number, almost periodic solution, nonsmooth analysis

ID: 41311115