Back to Search Start Over

DUAL SMALE'S MEAN VALUE CONJECTURE.

Authors :
HINKKANEN, AIMO
KAYUMOV, ILGIZ R.
KHAMMATOVA, DIANA M.
Source :
Proceedings of the American Mathematical Society; Dec2019, Vol. 147 Issue 12, p5227-5237, 11p
Publication Year :
2019

Abstract

We prove the dual Smale's mean value conjecture for polynomials of degree six: if f is a polynomial of degree six with f(0) = 0 and f'(0) = 1, then there is a point ζ such that f'(ζ) = 0 and ∣f(ζ)/ζ∣ ≥ 1/6. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00029939
Volume :
147
Issue :
12
Database :
Complementary Index
Journal :
Proceedings of the American Mathematical Society
Publication Type :
Academic Journal
Accession number :
139261284
Full Text :
https://doi.org/10.1090/proc/14639