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Approximation estimates for convolution classes in terms of the second modulus of continuity. / Vinogradov, O.L.

In: Siberian Mathematical Journal, No. 3, 2014, p. 402-414.

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

Harvard

Vinogradov, OL 2014, 'Approximation estimates for convolution classes in terms of the second modulus of continuity', Siberian Mathematical Journal, no. 3, pp. 402-414. https://doi.org/10.1134/S0037446614030021

APA

Vinogradov, O. L. (2014). Approximation estimates for convolution classes in terms of the second modulus of continuity. Siberian Mathematical Journal, (3), 402-414. https://doi.org/10.1134/S0037446614030021

Vancouver

Vinogradov OL. Approximation estimates for convolution classes in terms of the second modulus of continuity. Siberian Mathematical Journal. 2014;(3):402-414. https://doi.org/10.1134/S0037446614030021

Author

Vinogradov, O.L. / Approximation estimates for convolution classes in terms of the second modulus of continuity. In: Siberian Mathematical Journal. 2014 ; No. 3. pp. 402-414.

BibTeX

@article{bf71dc5fe6a64b1fb0b060db2fe397d5,
title = "Approximation estimates for convolution classes in terms of the second modulus of continuity",
abstract = "We establish the best approximation estimates for certain convolutions whose kernels are entire functions of exponential type in terms of the second modulus of continuity. The Jackson-type inequalities for even-order derivatives are particular cases of our estimates. {\textcopyright} 2014 Pleiades Publishing, Ltd.",
author = "O.L. Vinogradov",
year = "2014",
doi = "10.1134/S0037446614030021",
language = "English",
pages = "402--414",
journal = "Siberian Mathematical Journal",
issn = "0037-4466",
publisher = "Springer Nature",
number = "3",

}

RIS

TY - JOUR

T1 - Approximation estimates for convolution classes in terms of the second modulus of continuity

AU - Vinogradov, O.L.

PY - 2014

Y1 - 2014

N2 - We establish the best approximation estimates for certain convolutions whose kernels are entire functions of exponential type in terms of the second modulus of continuity. The Jackson-type inequalities for even-order derivatives are particular cases of our estimates. © 2014 Pleiades Publishing, Ltd.

AB - We establish the best approximation estimates for certain convolutions whose kernels are entire functions of exponential type in terms of the second modulus of continuity. The Jackson-type inequalities for even-order derivatives are particular cases of our estimates. © 2014 Pleiades Publishing, Ltd.

U2 - 10.1134/S0037446614030021

DO - 10.1134/S0037446614030021

M3 - Article

SP - 402

EP - 414

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 3

ER -

ID: 7062803