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On approximating periodic functions by singular integrals with positive kernels. / Dodonov, N. Yu; Zhuk, V. V.

In: Journal of Mathematical Sciences, Vol. 143, No. 3, 01.06.2007, p. 3039-3052.

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

Harvard

Dodonov, NY & Zhuk, VV 2007, 'On approximating periodic functions by singular integrals with positive kernels', Journal of Mathematical Sciences, vol. 143, no. 3, pp. 3039-3052. https://doi.org/10.1007/s10958-007-0190-6

APA

Dodonov, N. Y., & Zhuk, V. V. (2007). On approximating periodic functions by singular integrals with positive kernels. Journal of Mathematical Sciences, 143(3), 3039-3052. https://doi.org/10.1007/s10958-007-0190-6

Vancouver

Dodonov NY, Zhuk VV. On approximating periodic functions by singular integrals with positive kernels. Journal of Mathematical Sciences. 2007 Jun 1;143(3):3039-3052. https://doi.org/10.1007/s10958-007-0190-6

Author

Dodonov, N. Yu ; Zhuk, V. V. / On approximating periodic functions by singular integrals with positive kernels. In: Journal of Mathematical Sciences. 2007 ; Vol. 143, No. 3. pp. 3039-3052.

BibTeX

@article{9d5b4a39145645299448d7542579650e,
title = "On approximating periodic functions by singular integrals with positive kernels",
abstract = "In the two-dimensional case, new approximation characteristics for functions belonging to saturation classes of continuity modules for the spaces Lp of periodic functions are obtained. The problem of approximating a function by an analog of Fej{\'e}r's integral in the space of periodic functions square integrable on the period is considered. Bibliography: 5 titles.",
author = "Dodonov, {N. Yu} and Zhuk, {V. V.}",
year = "2007",
month = jun,
day = "1",
doi = "10.1007/s10958-007-0190-6",
language = "English",
volume = "143",
pages = "3039--3052",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "3",

}

RIS

TY - JOUR

T1 - On approximating periodic functions by singular integrals with positive kernels

AU - Dodonov, N. Yu

AU - Zhuk, V. V.

PY - 2007/6/1

Y1 - 2007/6/1

N2 - In the two-dimensional case, new approximation characteristics for functions belonging to saturation classes of continuity modules for the spaces Lp of periodic functions are obtained. The problem of approximating a function by an analog of Fejér's integral in the space of periodic functions square integrable on the period is considered. Bibliography: 5 titles.

AB - In the two-dimensional case, new approximation characteristics for functions belonging to saturation classes of continuity modules for the spaces Lp of periodic functions are obtained. The problem of approximating a function by an analog of Fejér's integral in the space of periodic functions square integrable on the period is considered. Bibliography: 5 titles.

UR - http://www.scopus.com/inward/record.url?scp=34248173973&partnerID=8YFLogxK

U2 - 10.1007/s10958-007-0190-6

DO - 10.1007/s10958-007-0190-6

M3 - Article

AN - SCOPUS:34248173973

VL - 143

SP - 3039

EP - 3052

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 3

ER -

ID: 35266601