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Convergence rate for weighted polynomial approximation on the real line. / Kononova, Anna.

In: Journal of Approximation Theory, Vol. 272, 105642, 12.2021.

Research output: Contribution to journal › Article › peer-review

Harvard

Kononova, A 2021, 'Convergence rate for weighted polynomial approximation on the real line', Journal of Approximation Theory, vol. 272, 105642. https://doi.org/10.1016/j.jat.2021.105642

APA

Kononova, A. (2021). Convergence rate for weighted polynomial approximation on the real line. Journal of Approximation Theory, 272, [105642]. https://doi.org/10.1016/j.jat.2021.105642

Vancouver

Kononova A. Convergence rate for weighted polynomial approximation on the real line. Journal of Approximation Theory. 2021 Dec;272. 105642. https://doi.org/10.1016/j.jat.2021.105642

Author

Kononova, Anna. / Convergence rate for weighted polynomial approximation on the real line. In: Journal of Approximation Theory. 2021 ; Vol. 272.

BibTeX

@article{137b9d4b40f1442c8d686b2e5479072b,
title = "Convergence rate for weighted polynomial approximation on the real line",
abstract = "In this note we study a quantitative version of Bernstein{\textquoteright}s approximation problem when the polynomials are dense in weighted spaces on the real line completing a result of Mergelyan (1960). We estimate in the logarithmic scale the error of the weighted polynomial approximation of the Cauchy kernel.",
keywords = "Polynomial approximation, Weighted spaces, Rate of convergence",
author = "Anna Kononova",
note = "Publisher Copyright: {\textcopyright} 2021 Elsevier Inc.",
year = "2021",
month = dec,
doi = "10.1016/j.jat.2021.105642",
language = "English",
volume = "272",
journal = "Journal of Approximation Theory",
issn = "0021-9045",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Convergence rate for weighted polynomial approximation on the real line

AU - Kononova, Anna

N1 - Publisher Copyright: © 2021 Elsevier Inc.

PY - 2021/12

Y1 - 2021/12

N2 - In this note we study a quantitative version of Bernstein’s approximation problem when the polynomials are dense in weighted spaces on the real line completing a result of Mergelyan (1960). We estimate in the logarithmic scale the error of the weighted polynomial approximation of the Cauchy kernel.

AB - In this note we study a quantitative version of Bernstein’s approximation problem when the polynomials are dense in weighted spaces on the real line completing a result of Mergelyan (1960). We estimate in the logarithmic scale the error of the weighted polynomial approximation of the Cauchy kernel.

KW - Polynomial approximation

KW - Weighted spaces

KW - Rate of convergence

UR - https://www.sciencedirect.com/science/article/pii/S0021904521001052

UR - http://www.scopus.com/inward/record.url?scp=85114322437&partnerID=8YFLogxK

U2 - 10.1016/j.jat.2021.105642

DO - 10.1016/j.jat.2021.105642

M3 - Article

VL - 272

JO - Journal of Approximation Theory

JF - Journal of Approximation Theory

SN - 0021-9045

M1 - 105642

ER -

ID: 85432940