P. L. Chebyshev solved the problem of finding a polynomial of degree n with leading coefficient one that has the least deviation from zero with respect to the maximum norm. In the case of entire functions, a similar problem can be solved for some classes. We find an entire function of exponential type σ such that(formula presented)for any nonzero entire function Q of type less than σ of class C.

Original languageEnglish
Pages (from-to)546-552
Number of pages7
JournalJournal of Mathematical Sciences (United States)
Volume202
Issue number4
DOIs
StatePublished - Oct 2014

    Scopus subject areas

  • Statistics and Probability
  • Mathematics(all)
  • Applied Mathematics

ID: 86670401