TY - JOUR

T1 - Entire functions of least deviation from zero in generalized Orlicz classes

AU - Vinogradov, O. L.

AU - Gladkaya, A. V.

PY - 2019/1/1

Y1 - 2019/1/1

N2 - 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 =

AB - 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 =

KW - Entire functions of least deviation from zero

KW - Orlicz classes

KW - Weighted spaces

UR - http://www.scopus.com/inward/record.url?scp=85062832758&partnerID=8YFLogxK

U2 - 10.1090/spmj/1539

DO - 10.1090/spmj/1539

M3 - Article

AN - SCOPUS:85062832758

VL - 30

SP - 219

EP - 230

JO - St. Petersburg Mathematical Journal

JF - St. Petersburg Mathematical Journal

SN - 1061-0022

IS - 2

ER -