Standard

Approximation by polynomials composed of Weierstrass doubly periodic functions. / Sintsova, Ksenia; Shirokov, N. A. .

In: Vestnik St. Petersburg University: Mathematics, Vol. 56, No. 1, 2023, p. 46-56.

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

Harvard

Sintsova, K & Shirokov, NA 2023, 'Approximation by polynomials composed of Weierstrass doubly periodic functions', Vestnik St. Petersburg University: Mathematics, vol. 56, no. 1, pp. 46-56.

APA

Sintsova, K., & Shirokov, N. A. (2023). Approximation by polynomials composed of Weierstrass doubly periodic functions. Vestnik St. Petersburg University: Mathematics, 56(1), 46-56.

Vancouver

Sintsova K, Shirokov NA. Approximation by polynomials composed of Weierstrass doubly periodic functions. Vestnik St. Petersburg University: Mathematics. 2023;56(1):46-56.

Author

Sintsova, Ksenia ; Shirokov, N. A. . / Approximation by polynomials composed of Weierstrass doubly periodic functions. In: Vestnik St. Petersburg University: Mathematics. 2023 ; Vol. 56, No. 1. pp. 46-56.

BibTeX

@article{e53e81983fd544769217b28629b2d766,
title = "Approximation by polynomials composed of Weierstrass doubly periodic functions",
abstract = "The approximation-theory problem to describe classes of functions in terms of the rate of approximation of these functions by polynomials, rational functions, and splines arose over 100 years ago; it still remains topical. Among many problems related to approximation, we consider the two-variable polynomial approximation problem for a function defined on the continuum of an elliptic curve in {{\mathbb{C}}^{2}} and holomorphic in its interior. The formulation of such a problem leads to the need to study the approximation of functions continuous on the continuum of the complex plane and analytic in its interior, using polynomials of Weierstrass doubly periodic functions and their derivatives.This work is devoted to the development of this area.",
keywords = "analytic functions, approximation, Weierstrass doubly periodic functions",
author = "Ksenia Sintsova and Shirokov, {N. A.}",
year = "2023",
language = "English",
volume = "56",
pages = "46--56",
journal = "Vestnik St. Petersburg University: Mathematics",
issn = "1063-4541",
publisher = "Pleiades Publishing",
number = "1",

}

RIS

TY - JOUR

T1 - Approximation by polynomials composed of Weierstrass doubly periodic functions

AU - Sintsova, Ksenia

AU - Shirokov, N. A.

PY - 2023

Y1 - 2023

N2 - The approximation-theory problem to describe classes of functions in terms of the rate of approximation of these functions by polynomials, rational functions, and splines arose over 100 years ago; it still remains topical. Among many problems related to approximation, we consider the two-variable polynomial approximation problem for a function defined on the continuum of an elliptic curve in {{\mathbb{C}}^{2}} and holomorphic in its interior. The formulation of such a problem leads to the need to study the approximation of functions continuous on the continuum of the complex plane and analytic in its interior, using polynomials of Weierstrass doubly periodic functions and their derivatives.This work is devoted to the development of this area.

AB - The approximation-theory problem to describe classes of functions in terms of the rate of approximation of these functions by polynomials, rational functions, and splines arose over 100 years ago; it still remains topical. Among many problems related to approximation, we consider the two-variable polynomial approximation problem for a function defined on the continuum of an elliptic curve in {{\mathbb{C}}^{2}} and holomorphic in its interior. The formulation of such a problem leads to the need to study the approximation of functions continuous on the continuum of the complex plane and analytic in its interior, using polynomials of Weierstrass doubly periodic functions and their derivatives.This work is devoted to the development of this area.

KW - analytic functions

KW - approximation

KW - Weierstrass doubly periodic functions

UR - https://link.springer.com/article/10.1134/s1063454123010120

UR - https://link.springer.com/content/pdf/10.1134/S1063454123010120.pdf

M3 - Article

VL - 56

SP - 46

EP - 56

JO - Vestnik St. Petersburg University: Mathematics

JF - Vestnik St. Petersburg University: Mathematics

SN - 1063-4541

IS - 1

ER -

ID: 105248936