Entire functions of least deviation from zero in generalized Orlicz classes

Research output

Abstract

Some results of S. N. Bernstein about polynomials of least deviation from zero in some weighted spaces L p are generalized to entire functions of exponential type. Suppose that a function ρm belongs to the Cartwright class, is of type m, is positive on the real axis, and let σ ≥ m. Earlier, the authors constructed functions least deviating from zero among entire functions of type σ in the uniform and integral metrics on R with the weights ω = 1/ρm and ω =

Original languageEnglish
Pages (from-to)219-230
Number of pages12
JournalSt. Petersburg Mathematical Journal
Volume30
Issue number2
DOIs
Publication statusPublished - 1 Jan 2019

Scopus subject areas

  • Analysis

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