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Approximation of periodic functions by modified Steklov averages in L2. / Dron’, V.O.; Zhuk, V.V.

In: Journal of Mathematical Sciences, No. 6, 2015, p. 815-824.

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

Harvard

Dron’, VO & Zhuk, VV 2015, 'Approximation of periodic functions by modified Steklov averages in L2', Journal of Mathematical Sciences, no. 6, pp. 815-824. https://doi.org/10.1007/s10958-015-2405-6

APA

Dron’, V. O., & Zhuk, V. V. (2015). Approximation of periodic functions by modified Steklov averages in L2. Journal of Mathematical Sciences, (6), 815-824. https://doi.org/10.1007/s10958-015-2405-6

Vancouver

Dron’ VO, Zhuk VV. Approximation of periodic functions by modified Steklov averages in L2. Journal of Mathematical Sciences. 2015;(6):815-824. https://doi.org/10.1007/s10958-015-2405-6

Author

Dron’, V.O. ; Zhuk, V.V. / Approximation of periodic functions by modified Steklov averages in L2. In: Journal of Mathematical Sciences. 2015 ; No. 6. pp. 815-824.

BibTeX

@article{e7f2cb101596480188b2e42a00478ac6,
title = "Approximation of periodic functions by modified Steklov averages in L2",
abstract = "{\textcopyright} 2015, Springer Science+Business Media New York.In the space L2 of periodic functions, sharp (in the sense of constants) lower estimates for the deviation of the modified Steklov functions of the first and second orders in terms of the modulus of continuity are established. Similar results are also obtained for even continuous periodic functions with nonnegative Fourier coefficients in the space C. Bibliography: 3 titles.",
author = "V.O. Dron{\textquoteright} and V.V. Zhuk",
year = "2015",
doi = "10.1007/s10958-015-2405-6",
language = "English",
pages = "815--824",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "6",

}

RIS

TY - JOUR

T1 - Approximation of periodic functions by modified Steklov averages in L2

AU - Dron’, V.O.

AU - Zhuk, V.V.

PY - 2015

Y1 - 2015

N2 - © 2015, Springer Science+Business Media New York.In the space L2 of periodic functions, sharp (in the sense of constants) lower estimates for the deviation of the modified Steklov functions of the first and second orders in terms of the modulus of continuity are established. Similar results are also obtained for even continuous periodic functions with nonnegative Fourier coefficients in the space C. Bibliography: 3 titles.

AB - © 2015, Springer Science+Business Media New York.In the space L2 of periodic functions, sharp (in the sense of constants) lower estimates for the deviation of the modified Steklov functions of the first and second orders in terms of the modulus of continuity are established. Similar results are also obtained for even continuous periodic functions with nonnegative Fourier coefficients in the space C. Bibliography: 3 titles.

U2 - 10.1007/s10958-015-2405-6

DO - 10.1007/s10958-015-2405-6

M3 - Article

SP - 815

EP - 824

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 6

ER -

ID: 3990826