Application of derived numbers theory in convex analysis

Gennady Alferov, Gennady Ivanov, Artem Sharlay, Viktor Fedorov

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 and convexity of one variable functions are given.

Original languageEnglish
Title of host publicationInternational Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2018
EditorsT.E. Simos, T.E. Simos, T.E. Simos, T.E. Simos, Ch. Tsitouras, T.E. Simos
PublisherAmerican Institute of Physics
ISBN (Electronic)9780735418547
DOIs
Publication statusPublished - 24 Jul 2019
EventInternational Conference on Numerical Analysis and Applied Mathematics 2018, ICNAAM 2018 - Rhodes
Duration: 13 Sep 201818 Sep 2018

Publication series

NameAIP Conference Proceedings
Volume2116
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceInternational Conference on Numerical Analysis and Applied Mathematics 2018, ICNAAM 2018
CountryGreece
CityRhodes
Period13/09/1818/09/18

Fingerprint

number theory
convexity
theorems
analysis

Scopus subject areas

  • Ecology, Evolution, Behavior and Systematics
  • Ecology
  • Plant Science
  • Physics and Astronomy(all)
  • Nature and Landscape Conservation

Cite this

Alferov, G., Ivanov, G., Sharlay, A., & Fedorov, V. (2019). Application of derived numbers theory in convex analysis. In T. E. Simos, T. E. Simos, T. E. Simos, T. E. Simos, C. Tsitouras, & T. E. Simos (Eds.), International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2018 [080003] (AIP Conference Proceedings; Vol. 2116). American Institute of Physics. https://doi.org/10.1063/1.5114063
Alferov, Gennady ; Ivanov, Gennady ; Sharlay, Artem ; Fedorov, Viktor. / Application of derived numbers theory in convex analysis. International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2018. editor / T.E. Simos ; T.E. Simos ; T.E. Simos ; T.E. Simos ; Ch. Tsitouras ; T.E. Simos. American Institute of Physics, 2019. (AIP Conference Proceedings).
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abstract = "The Fermat, Roll and Lagrange theorems are generalized into the class of nondifferentiable functions, the necessary and sufficient conditions for monotonicity and convexity of one variable functions are given.",
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Alferov, G, Ivanov, G, Sharlay, A & Fedorov, V 2019, Application of derived numbers theory in convex analysis. in TE Simos, TE Simos, TE Simos, TE Simos, C Tsitouras & TE Simos (eds), International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2018., 080003, AIP Conference Proceedings, vol. 2116, American Institute of Physics, Rhodes, 13/09/18. https://doi.org/10.1063/1.5114063

Application of derived numbers theory in convex analysis. / Alferov, Gennady; Ivanov, Gennady; Sharlay, Artem; Fedorov, Viktor.

International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2018. ed. / T.E. Simos; T.E. Simos; T.E. Simos; T.E. Simos; Ch. Tsitouras; T.E. Simos. American Institute of Physics, 2019. 080003 (AIP Conference Proceedings; Vol. 2116).

Research output

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T1 - Application of derived numbers theory in convex analysis

AU - Alferov, Gennady

AU - Ivanov, Gennady

AU - Sharlay, Artem

AU - Fedorov, Viktor

PY - 2019/7/24

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N2 - The Fermat, Roll and Lagrange theorems are generalized into the class of nondifferentiable functions, the necessary and sufficient conditions for monotonicity and convexity of one variable functions are given.

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M3 - Conference contribution

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T3 - AIP Conference Proceedings

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A2 - Simos, T.E.

A2 - Simos, T.E.

A2 - Simos, T.E.

A2 - Simos, T.E.

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PB - American Institute of Physics

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Alferov G, Ivanov G, Sharlay A, Fedorov V. Application of derived numbers theory in convex analysis. In Simos TE, Simos TE, Simos TE, Simos TE, Tsitouras C, Simos TE, editors, International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2018. American Institute of Physics. 2019. 080003. (AIP Conference Proceedings). https://doi.org/10.1063/1.5114063