Dual Smale’s Mean Value Conjecture for n=7

Aimo Hinkkanen; Ilgiz R. Kayumov; Diana M. Khammatova

doi:10.1007/s00365-025-09709-4

Dual Smale’s Mean Value Conjecture for n=7

Aimo Hinkkanen, Ilgiz R. Kayumov, Diana M. Khammatova

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We give an analytic proof of the dual Smale’s mean value conjecture in the case n=7.

Original language	English (US)
Pages (from-to)	603-613
Number of pages	11
Journal	Constructive Approximation
Volume	61
Issue number	3
Early online date	May 6 2025
DOIs	https://doi.org/10.1007/s00365-025-09709-4
State	E-pub ahead of print - May 6 2025

Keywords

Critical points
Critical values of polynomials
Dual Smale’s mean value conjecture

ASJC Scopus subject areas

Analysis
General Mathematics
Computational Mathematics

Online availability

10.1007/s00365-025-09709-4

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Cite this

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title = "Dual Smale{\textquoteright}s Mean Value Conjecture for n=7",

abstract = "We give an analytic proof of the dual Smale{\textquoteright}s mean value conjecture in the case n=7.",

keywords = "Critical points, Critical values of polynomials, Dual Smale{\textquoteright}s mean value conjecture",

author = "Aimo Hinkkanen and Kayumov, {Ilgiz R.} and Khammatova, {Diana M.}",

note = "The work of D.M. Khammatova is supported by Russian Science Foundation, grant No. 22-71-10094.",

year = "2025",

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language = "English (US)",

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AU - Hinkkanen, Aimo

AU - Kayumov, Ilgiz R.

AU - Khammatova, Diana M.

N1 - The work of D.M. Khammatova is supported by Russian Science Foundation, grant No. 22-71-10094.

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N2 - We give an analytic proof of the dual Smale’s mean value conjecture in the case n=7.

AB - We give an analytic proof of the dual Smale’s mean value conjecture in the case n=7.

KW - Critical points

KW - Critical values of polynomials

KW - Dual Smale’s mean value conjecture

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Dual Smale’s Mean Value Conjecture for n=7

Abstract

Keywords

ASJC Scopus subject areas

Online availability

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