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Growth of Norms in L2 of Derivatives of the Steklov Functions and Properties Defined by the Best Approximations and Fourier Coefficients. / Жук, Владимир Васильевич; Бабушкин, Максим Владимирович.

в: Journal of Mathematical Sciences, Том 222, № 5, 2017, стр. 525–543.

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

Harvard

Жук, ВВ & Бабушкин, МВ 2017, 'Growth of Norms in L2 of Derivatives of the Steklov Functions and Properties Defined by the Best Approximations and Fourier Coefficients', Journal of Mathematical Sciences, Том. 222, № 5, стр. 525–543. https://doi.org/10.1007/s10958-017-3320-9, https://doi.org/10.1007/s10958-017-3320-9

APA

Жук, В. В., & Бабушкин, М. В. (2017). Growth of Norms in L2 of Derivatives of the Steklov Functions and Properties Defined by the Best Approximations and Fourier Coefficients. Journal of Mathematical Sciences, 222(5), 525–543. https://doi.org/10.1007/s10958-017-3320-9, https://doi.org/10.1007/s10958-017-3320-9

Vancouver

Жук ВВ, Бабушкин МВ. Growth of Norms in L2 of Derivatives of the Steklov Functions and Properties Defined by the Best Approximations and Fourier Coefficients. Journal of Mathematical Sciences. 2017;222(5):525–543. https://doi.org/10.1007/s10958-017-3320-9, https://doi.org/10.1007/s10958-017-3320-9

Author

Жук, Владимир Васильевич ; Бабушкин, Максим Владимирович. / Growth of Norms in L2 of Derivatives of the Steklov Functions and Properties Defined by the Best Approximations and Fourier Coefficients. в: Journal of Mathematical Sciences. 2017 ; Том 222, № 5. стр. 525–543.

BibTeX

@article{2ccb471af5bc4f5b955c0676f1e1087a,
title = "Growth of Norms in L2 of Derivatives of the Steklov Functions and Properties Defined by the Best Approximations and Fourier Coefficients",
abstract = "In the paper, for periodic functions, a connection between integrals of norms in L2 of derivatives of the Steklov functions and series constructed from Fourier coefficients and the best approximations in L2 is established, and the question on their simultaneous convergence or divergence is examined. Similar investigations are carried out for even and odd periodic functions. Bibliography: 13 titles.",
author = "Жук, {Владимир Васильевич} and Бабушкин, {Максим Владимирович}",
year = "2017",
doi = "10.1007/s10958-017-3320-9",
language = "English",
volume = "222",
pages = "525–543",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "5",

}

RIS

TY - JOUR

T1 - Growth of Norms in L2 of Derivatives of the Steklov Functions and Properties Defined by the Best Approximations and Fourier Coefficients

AU - Жук, Владимир Васильевич

AU - Бабушкин, Максим Владимирович

PY - 2017

Y1 - 2017

N2 - In the paper, for periodic functions, a connection between integrals of norms in L2 of derivatives of the Steklov functions and series constructed from Fourier coefficients and the best approximations in L2 is established, and the question on their simultaneous convergence or divergence is examined. Similar investigations are carried out for even and odd periodic functions. Bibliography: 13 titles.

AB - In the paper, for periodic functions, a connection between integrals of norms in L2 of derivatives of the Steklov functions and series constructed from Fourier coefficients and the best approximations in L2 is established, and the question on their simultaneous convergence or divergence is examined. Similar investigations are carried out for even and odd periodic functions. Bibliography: 13 titles.

U2 - 10.1007/s10958-017-3320-9

DO - 10.1007/s10958-017-3320-9

M3 - Article

VL - 222

SP - 525

EP - 543

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 5

ER -

ID: 7909615