Standard

Entire functions that deviate least from zero in the uniform and the integral metrics with a weight. / Gladkaya, A. V.; Vinogradov, O. L.

в: St. Petersburg Mathematical Journal, Том 26, № 6, 2015, стр. 867-879.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Gladkaya, AV & Vinogradov, OL 2015, 'Entire functions that deviate least from zero in the uniform and the integral metrics with a weight', St. Petersburg Mathematical Journal, Том. 26, № 6, стр. 867-879. https://doi.org/10.1090/spmj/1364

APA

Gladkaya, A. V., & Vinogradov, O. L. (2015). Entire functions that deviate least from zero in the uniform and the integral metrics with a weight. St. Petersburg Mathematical Journal, 26(6), 867-879. https://doi.org/10.1090/spmj/1364

Vancouver

Gladkaya AV, Vinogradov OL. Entire functions that deviate least from zero in the uniform and the integral metrics with a weight. St. Petersburg Mathematical Journal. 2015;26(6):867-879. https://doi.org/10.1090/spmj/1364

Author

Gladkaya, A. V. ; Vinogradov, O. L. / Entire functions that deviate least from zero in the uniform and the integral metrics with a weight. в: St. Petersburg Mathematical Journal. 2015 ; Том 26, № 6. стр. 867-879.

BibTeX

@article{43fdd8796242435395f7df1caa3b5d47,
title = "Entire functions that deviate least from zero in the uniform and the integral metrics with a weight",
abstract = "Results of Chebyshev and Bernstein about polynomials with the smallest deviation from zero in a weighted norm are extended to entire functions of exponential type. Suppose that a function ρm belongs to the Cartwright class, is of type m, and is positive on the real axis. Let σ≥m. Functions that have the smallest deiation from zero among the entire functions of type σ are constructed in the uniform and integral metrics.",
keywords = "Entire functions, Smallest deviation from zero, Weighted spaces",
author = "Gladkaya, {A. V.} and Vinogradov, {O. L.}",
year = "2015",
doi = "10.1090/spmj/1364",
language = "English",
volume = "26",
pages = "867--879",
journal = "St. Petersburg Mathematical Journal",
issn = "1061-0022",
publisher = "American Mathematical Society",
number = "6",

}

RIS

TY - JOUR

T1 - Entire functions that deviate least from zero in the uniform and the integral metrics with a weight

AU - Gladkaya, A. V.

AU - Vinogradov, O. L.

PY - 2015

Y1 - 2015

N2 - Results of Chebyshev and Bernstein about polynomials with the smallest deviation from zero in a weighted norm are extended to entire functions of exponential type. Suppose that a function ρm belongs to the Cartwright class, is of type m, and is positive on the real axis. Let σ≥m. Functions that have the smallest deiation from zero among the entire functions of type σ are constructed in the uniform and integral metrics.

AB - Results of Chebyshev and Bernstein about polynomials with the smallest deviation from zero in a weighted norm are extended to entire functions of exponential type. Suppose that a function ρm belongs to the Cartwright class, is of type m, and is positive on the real axis. Let σ≥m. Functions that have the smallest deiation from zero among the entire functions of type σ are constructed in the uniform and integral metrics.

KW - Entire functions

KW - Smallest deviation from zero

KW - Weighted spaces

UR - http://www.scopus.com/inward/record.url?scp=84944328478&partnerID=8YFLogxK

U2 - 10.1090/spmj/1364

DO - 10.1090/spmj/1364

M3 - Article

AN - SCOPUS:84944328478

VL - 26

SP - 867

EP - 879

JO - St. Petersburg Mathematical Journal

JF - St. Petersburg Mathematical Journal

SN - 1061-0022

IS - 6

ER -

ID: 15680364