DERIVED NUMBERS OF ONE VARIABLE CONVEX FUNCTIONS

Authors

  • S. Kadry Beirut Arab University - Department of Mathematics and Computer Science
  • G. Alferov Sain-Petersburg State University
  • G. Ivanov Sain-Petersburg State University
  • A. Sharlay Sain-Petersburg State University

Keywords:

derived number, periodic solution, almost periodic solution, nonsmooth analysis, Dini-H¨older derived number

Abstract

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.

 

Cover of n°41 Italian Journal of Pure and Applied Mathematics

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Published

2019-02-27

How to Cite

Kadry, S., Alferov, G., Ivanov, G., & Sharlay, A. (2019). DERIVED NUMBERS OF ONE VARIABLE CONVEX FUNCTIONS. Italian Journal of Pure and Applied Mathematics, 41, 649–662. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/7075

Issue

N°41 - February 2019

Section

Articoli - Forum Editrice

License

Copyright (c) 2019 S. Kadry, G. Alferov, G. Ivanov, A. Sharlay

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

L'opera è pubblicata sotto  Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)

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