Standard

Approximation to the Derivatives of a Function Defined on a Simplex under Lagrangian Interpolation. / Baidakova, N.; Subbotin, Yu.
In: Mathematical Notes, Vol. 115, No. 1-2, 01.02.2024, p. 3-11.

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

Harvard

Baidakova, N & Subbotin, Y 2024, 'Approximation to the Derivatives of a Function Defined on a Simplex under Lagrangian Interpolation', Mathematical Notes, vol. 115, no. 1-2, pp. 3-11. https://doi.org/10.1134/S0001434624010012

APA

Baidakova, N., & Subbotin, Y. (2024). Approximation to the Derivatives of a Function Defined on a Simplex under Lagrangian Interpolation. Mathematical Notes, 115(1-2), 3-11. https://doi.org/10.1134/S0001434624010012

Vancouver

Baidakova N, Subbotin Y. Approximation to the Derivatives of a Function Defined on a Simplex under Lagrangian Interpolation. Mathematical Notes. 2024 Feb 1;115(1-2):3-11. doi: 10.1134/S0001434624010012

Author

Baidakova, N. ; Subbotin, Yu. / Approximation to the Derivatives of a Function Defined on a Simplex under Lagrangian Interpolation. In: Mathematical Notes. 2024 ; Vol. 115, No. 1-2. pp. 3-11.

BibTeX

@article{7c49e2323b6341449eee22ef622a6077,
title = "Approximation to the Derivatives of a Function Defined on a Simplex under Lagrangian Interpolation",
abstract = "New upper bounds are found in the problem of approximation to the th derivatives of a function of variables defined on a simplex by the derivatives of an algebraic polynomial of degree at most () interpolating the values of the function at equidistant nodes of the simplex. The estimates are obtained in terms of the diameter of the simplex, the angular characteristic introduced in the paper, the dimension , the degree of the polynomial, and the order of the derivative to be estimated and do not contain unknown parameters. These estimates are compared with those most frequently used in the literature.",
author = "N. Baidakova and Yu. Subbotin",
year = "2024",
month = feb,
day = "1",
doi = "10.1134/S0001434624010012",
language = "English",
volume = "115",
pages = "3--11",
journal = "Mathematical Notes",
issn = "0001-4346",
publisher = "Kluwer Academic/Plenum Publishers",
number = "1-2",

}

RIS

TY - JOUR

T1 - Approximation to the Derivatives of a Function Defined on a Simplex under Lagrangian Interpolation

AU - Baidakova, N.

AU - Subbotin, Yu.

PY - 2024/2/1

Y1 - 2024/2/1

N2 - New upper bounds are found in the problem of approximation to the th derivatives of a function of variables defined on a simplex by the derivatives of an algebraic polynomial of degree at most () interpolating the values of the function at equidistant nodes of the simplex. The estimates are obtained in terms of the diameter of the simplex, the angular characteristic introduced in the paper, the dimension , the degree of the polynomial, and the order of the derivative to be estimated and do not contain unknown parameters. These estimates are compared with those most frequently used in the literature.

AB - New upper bounds are found in the problem of approximation to the th derivatives of a function of variables defined on a simplex by the derivatives of an algebraic polynomial of degree at most () interpolating the values of the function at equidistant nodes of the simplex. The estimates are obtained in terms of the diameter of the simplex, the angular characteristic introduced in the paper, the dimension , the degree of the polynomial, and the order of the derivative to be estimated and do not contain unknown parameters. These estimates are compared with those most frequently used in the literature.

UR - http://www.scopus.com/inward/record.url?partnerID=8YFLogxK&scp=85190887064

UR - https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=tsmetrics&SrcApp=tsm_test&DestApp=WOS_CPL&DestLinkType=FullRecord&KeyUT=001206359700020

U2 - 10.1134/S0001434624010012

DO - 10.1134/S0001434624010012

M3 - Article

VL - 115

SP - 3

EP - 11

JO - Mathematical Notes

JF - Mathematical Notes

SN - 0001-4346

IS - 1-2

ER -

ID: 56629478