Derived numbers of one variable monotonic functions

S. Kadry, G. Alferov, G. Ivanov, A. Sharlay

Research output

1 Citation (Scopus)

Abstract

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

Original languageEnglish
Pages (from-to)637-648
Number of pages12
JournalItalian Journal of Pure and Applied Mathematics
Issue number41
Publication statusPublished - 1 Jan 2019

Fingerprint

Monotonic Function
Lagrange's theorem
Fermat
Monotonicity
Necessary Conditions
Sufficient Conditions
Class

Scopus subject areas

  • Mathematics(all)

Cite this

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title = "Derived numbers of one variable monotonic functions",
abstract = "The Fermat, Roll and Lagrange theorems are generalized into the class of nondifferentiable functions, the necessary and sufficient conditions for monotonicity one variable functions are given.",
keywords = "Almost periodic solution, Derived number, Dini-H{\"o}lder derived number, Nonsmooth analysis, Periodic solution",
author = "S. Kadry and G. Alferov and G. Ivanov and A. Sharlay",
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AU - Ivanov, G.

AU - Sharlay, A.

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KW - Dini-Hölder derived number

KW - Nonsmooth analysis

KW - Periodic solution

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