The Holder homogeneous mean unsolvability is proved. It is shown that the equation for the Holder mean has no strongly convex (concave) smooth solutions. The proof is based on the method, allowing both to prove unsolvability and to find the solution for different generalized means.

Original languageRussian
Pages (from-to)14-15
Number of pages2
JournalVestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya
Issue number1
StatePublished - 2002

    Scopus subject areas

  • Mathematics(all)
  • Physics and Astronomy(all)

ID: 9168795