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Estimates of Functions, Orthogonal to Piecewise Constant Functions, in Terms of the Second Modulus of Continuity. / Ikhsanov, L. N.

в: Journal of Mathematical Sciences (United States), Том 234, № 3, 01.10.2018, стр. 330-337.

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Harvard

Ikhsanov, LN 2018, 'Estimates of Functions, Orthogonal to Piecewise Constant Functions, in Terms of the Second Modulus of Continuity', Journal of Mathematical Sciences (United States), Том. 234, № 3, стр. 330-337. https://doi.org/10.1007/s10958-018-4008-5

APA

Ikhsanov, L. N. (2018). Estimates of Functions, Orthogonal to Piecewise Constant Functions, in Terms of the Second Modulus of Continuity. Journal of Mathematical Sciences (United States), 234(3), 330-337. https://doi.org/10.1007/s10958-018-4008-5

Vancouver

Ikhsanov LN. Estimates of Functions, Orthogonal to Piecewise Constant Functions, in Terms of the Second Modulus of Continuity. Journal of Mathematical Sciences (United States). 2018 Окт. 1;234(3):330-337. https://doi.org/10.1007/s10958-018-4008-5

Author

Ikhsanov, L. N. / Estimates of Functions, Orthogonal to Piecewise Constant Functions, in Terms of the Second Modulus of Continuity. в: Journal of Mathematical Sciences (United States). 2018 ; Том 234, № 3. стр. 330-337.

BibTeX

@article{23173c588e02440ba83baf22abcd8aec,
title = "Estimates of Functions, Orthogonal to Piecewise Constant Functions, in Terms of the Second Modulus of Continuity",
abstract = "The paper is devoted to the problem of finding the exact constant W2∗ in the inequality ‖f‖ ≤ K ⋅ ω2(f, 1) for bounded functions f with the property∫kk+1f(x)dx=0,k∈ℤ. Our approach allows us to reduce the known range for the desired constant as well as the set of functions involved in the extremal problem for finding the constant in question. It is shown that W2∗ also turns out to be the exact constant in a related Jackson–Stechkin type inequality.",
author = "Ikhsanov, {L. N.}",
year = "2018",
month = oct,
day = "1",
doi = "10.1007/s10958-018-4008-5",
language = "English",
volume = "234",
pages = "330--337",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "3",

}

RIS

TY - JOUR

T1 - Estimates of Functions, Orthogonal to Piecewise Constant Functions, in Terms of the Second Modulus of Continuity

AU - Ikhsanov, L. N.

PY - 2018/10/1

Y1 - 2018/10/1

N2 - The paper is devoted to the problem of finding the exact constant W2∗ in the inequality ‖f‖ ≤ K ⋅ ω2(f, 1) for bounded functions f with the property∫kk+1f(x)dx=0,k∈ℤ. Our approach allows us to reduce the known range for the desired constant as well as the set of functions involved in the extremal problem for finding the constant in question. It is shown that W2∗ also turns out to be the exact constant in a related Jackson–Stechkin type inequality.

AB - The paper is devoted to the problem of finding the exact constant W2∗ in the inequality ‖f‖ ≤ K ⋅ ω2(f, 1) for bounded functions f with the property∫kk+1f(x)dx=0,k∈ℤ. Our approach allows us to reduce the known range for the desired constant as well as the set of functions involved in the extremal problem for finding the constant in question. It is shown that W2∗ also turns out to be the exact constant in a related Jackson–Stechkin type inequality.

UR - http://www.scopus.com/inward/record.url?scp=85052729535&partnerID=8YFLogxK

U2 - 10.1007/s10958-018-4008-5

DO - 10.1007/s10958-018-4008-5

M3 - Article

AN - SCOPUS:85052729535

VL - 234

SP - 330

EP - 337

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 3

ER -

ID: 115437070