Standard

On some inequalities for the integrated modulus of continuity. / Vinogradov, O. L.

In: Vestnik St. Petersburg University: Mathematics, No. 12, 12.1996, p. 3-8.

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

Harvard

Vinogradov, OL 1996, 'On some inequalities for the integrated modulus of continuity', Vestnik St. Petersburg University: Mathematics, no. 12, pp. 3-8.

APA

Vinogradov, O. L. (1996). On some inequalities for the integrated modulus of continuity. Vestnik St. Petersburg University: Mathematics, (12), 3-8.

Vancouver

Vinogradov OL. On some inequalities for the integrated modulus of continuity. Vestnik St. Petersburg University: Mathematics. 1996 Dec;(12):3-8.

Author

Vinogradov, O. L. / On some inequalities for the integrated modulus of continuity. In: Vestnik St. Petersburg University: Mathematics. 1996 ; No. 12. pp. 3-8.

BibTeX

@article{1af4e1fb92ff464ea54d29084d454bdf,
title = "On some inequalities for the integrated modulus of continuity",
abstract = "Two inequalities for the integrated modulus of continuity have been investigated for periodic continuous real-valued functions f with seminorms P. Let En(f) is the best approximation of n order of the function f. It has been proved that the inequality En(f)≤K∫0Π/(n+1)ω1(f′, t)dt is correct with the constant K=0.2961887, where ω1 is the continuity modulus of the first order for the function f with the step t relatively the seminorm P. Estimation of the periodic function seminorm by the second integrated modulus of continuity has been established with the smaller constant.",
author = "Vinogradov, {O. L.}",
year = "1996",
month = dec,
language = "English",
pages = "3--8",
journal = "Vestnik St. Petersburg University: Mathematics",
issn = "1063-4541",
publisher = "Pleiades Publishing",
number = "12",

}

RIS

TY - JOUR

T1 - On some inequalities for the integrated modulus of continuity

AU - Vinogradov, O. L.

PY - 1996/12

Y1 - 1996/12

N2 - Two inequalities for the integrated modulus of continuity have been investigated for periodic continuous real-valued functions f with seminorms P. Let En(f) is the best approximation of n order of the function f. It has been proved that the inequality En(f)≤K∫0Π/(n+1)ω1(f′, t)dt is correct with the constant K=0.2961887, where ω1 is the continuity modulus of the first order for the function f with the step t relatively the seminorm P. Estimation of the periodic function seminorm by the second integrated modulus of continuity has been established with the smaller constant.

AB - Two inequalities for the integrated modulus of continuity have been investigated for periodic continuous real-valued functions f with seminorms P. Let En(f) is the best approximation of n order of the function f. It has been proved that the inequality En(f)≤K∫0Π/(n+1)ω1(f′, t)dt is correct with the constant K=0.2961887, where ω1 is the continuity modulus of the first order for the function f with the step t relatively the seminorm P. Estimation of the periodic function seminorm by the second integrated modulus of continuity has been established with the smaller constant.

UR - http://www.scopus.com/inward/record.url?scp=0030313784&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0030313784

SP - 3

EP - 8

JO - Vestnik St. Petersburg University: Mathematics

JF - Vestnik St. Petersburg University: Mathematics

SN - 1063-4541

IS - 12

ER -

ID: 101357495