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	Published - Jun 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

@article{b4b061bb08d14ba599b580d2fb94d036,

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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doi = "10.1007/s00365-025-09709-4",

language = "English (US)",

volume = "61",

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journal = "Constructive Approximation",

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publisher = "Springer New York",

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T1 - Dual Smale’s Mean Value Conjecture for n=7

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.

PY - 2025/6

Y1 - 2025/6

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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UR - https://www.scopus.com/pages/publications/105004306062#tab=citedBy

U2 - 10.1007/s00365-025-09709-4

DO - 10.1007/s00365-025-09709-4

M3 - Article

AN - SCOPUS:105004306062

SN - 0176-4276

VL - 61

SP - 603

EP - 613

JO - Constructive Approximation

JF - Constructive Approximation

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ER -

Dual Smale’s Mean Value Conjecture for n=7

Abstract

Keywords

ASJC Scopus subject areas

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