@article{223b8bba1d0c42949aaec44ca1b8ef6d,

title = "Dual Smale's mean value conjecture",

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.",

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

note = "Funding Information: Received by the editors May 28, 2017, and, in revised form, December 21, 2018 and March 6, 2019. 2010 Mathematics Subject Classification. Primary 30C10. The research of the second and third authors was funded by the subsidy allocated to Kazan Federal University for the state assignment in the sphere of scientific activities, project no. 1.13556.2019/13.1. Publisher Copyright: {\textcopyright} 2019 American Mathematical Society.",

year = "2019",

doi = "10.1090/proc/14639",

language = "English (US)",

volume = "147",

pages = "5227--5237",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "12",

}