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Sharp estimates of integrals in terms of the second modulus of continuity. / Vinogradov, O.L.

In: Mathematical Notes, No. 3-4, 2014, p. 465-476.

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Harvard

Vinogradov, OL 2014, 'Sharp estimates of integrals in terms of the second modulus of continuity', Mathematical Notes, no. 3-4, pp. 465-476. https://doi.org/10.1134/S0001434614090211

APA

Vinogradov, O. L. (2014). Sharp estimates of integrals in terms of the second modulus of continuity. Mathematical Notes, (3-4), 465-476. https://doi.org/10.1134/S0001434614090211

Vancouver

Vinogradov OL. Sharp estimates of integrals in terms of the second modulus of continuity. Mathematical Notes. 2014;(3-4):465-476. https://doi.org/10.1134/S0001434614090211

Author

Vinogradov, O.L. / Sharp estimates of integrals in terms of the second modulus of continuity. In: Mathematical Notes. 2014 ; No. 3-4. pp. 465-476.

BibTeX

@article{3a48f87a5d1b4d5bb9014d556aec1f1f,
title = "Sharp estimates of integrals in terms of the second modulus of continuity",
abstract = "{\textcopyright} 2014, Pleiades Publishing, Ltd. For a certain class of kernels, the exact constant in the estimate of the integral of the product of two functions in terms of the second modulus of continuity of one of them is obtained. Estimates of best approximations by entire functions of exponential type and by splines in terms of the second modulus of continuity of the second derivative of the approximated function are derived from the results obtained. The constants in these estimates are smaller than the previously known ones.",
author = "O.L. Vinogradov",
year = "2014",
doi = "10.1134/S0001434614090211",
language = "English",
pages = "465--476",
journal = "Mathematical Notes",
issn = "0001-4346",
publisher = "Pleiades Publishing",
number = "3-4",

}

RIS

TY - JOUR

T1 - Sharp estimates of integrals in terms of the second modulus of continuity

AU - Vinogradov, O.L.

PY - 2014

Y1 - 2014

N2 - © 2014, Pleiades Publishing, Ltd. For a certain class of kernels, the exact constant in the estimate of the integral of the product of two functions in terms of the second modulus of continuity of one of them is obtained. Estimates of best approximations by entire functions of exponential type and by splines in terms of the second modulus of continuity of the second derivative of the approximated function are derived from the results obtained. The constants in these estimates are smaller than the previously known ones.

AB - © 2014, Pleiades Publishing, Ltd. For a certain class of kernels, the exact constant in the estimate of the integral of the product of two functions in terms of the second modulus of continuity of one of them is obtained. Estimates of best approximations by entire functions of exponential type and by splines in terms of the second modulus of continuity of the second derivative of the approximated function are derived from the results obtained. The constants in these estimates are smaller than the previously known ones.

U2 - 10.1134/S0001434614090211

DO - 10.1134/S0001434614090211

M3 - Article

SP - 465

EP - 476

JO - Mathematical Notes

JF - Mathematical Notes

SN - 0001-4346

IS - 3-4

ER -

ID: 7062786