Standard

Sharp Estimates of Approximation by Abstract Kantorovich Type Operators in Terms of the Second Modulus of Continuity. / Ikhsanov, L. N.

в: Journal of Mathematical Sciences (United States), Том 261, № 6, 01.03.2022, стр. 773-791.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Ikhsanov, LN 2022, 'Sharp Estimates of Approximation by Abstract Kantorovich Type Operators in Terms of the Second Modulus of Continuity', Journal of Mathematical Sciences (United States), Том. 261, № 6, стр. 773-791. https://doi.org/10.1007/s10958-022-05788-x

APA

Ikhsanov, L. N. (2022). Sharp Estimates of Approximation by Abstract Kantorovich Type Operators in Terms of the Second Modulus of Continuity. Journal of Mathematical Sciences (United States), 261(6), 773-791. https://doi.org/10.1007/s10958-022-05788-x

Vancouver

Ikhsanov LN. Sharp Estimates of Approximation by Abstract Kantorovich Type Operators in Terms of the Second Modulus of Continuity. Journal of Mathematical Sciences (United States). 2022 Март 1;261(6):773-791. https://doi.org/10.1007/s10958-022-05788-x

Author

Ikhsanov, L. N. / Sharp Estimates of Approximation by Abstract Kantorovich Type Operators in Terms of the Second Modulus of Continuity. в: Journal of Mathematical Sciences (United States). 2022 ; Том 261, № 6. стр. 773-791.

BibTeX

@article{3bd2476653654a788a25ba89e7188552,
title = "Sharp Estimates of Approximation by Abstract Kantorovich Type Operators in Terms of the Second Modulus of Continuity",
abstract = "We use the second modulus of continuity to estimate approximations of a bounded measurable function on the segment [0, 1] by Kantorovich type operatorsBn(f)(x)=∑j=0nCnjxj(1−x)n−jFj(f), where Fj are functionals with sufficiently small supports and certain symmetry. The result obtained is sharp.",
author = "Ikhsanov, {L. N.}",
year = "2022",
month = mar,
day = "1",
doi = "10.1007/s10958-022-05788-x",
language = "English",
volume = "261",
pages = "773--791",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "6",

}

RIS

TY - JOUR

T1 - Sharp Estimates of Approximation by Abstract Kantorovich Type Operators in Terms of the Second Modulus of Continuity

AU - Ikhsanov, L. N.

PY - 2022/3/1

Y1 - 2022/3/1

N2 - We use the second modulus of continuity to estimate approximations of a bounded measurable function on the segment [0, 1] by Kantorovich type operatorsBn(f)(x)=∑j=0nCnjxj(1−x)n−jFj(f), where Fj are functionals with sufficiently small supports and certain symmetry. The result obtained is sharp.

AB - We use the second modulus of continuity to estimate approximations of a bounded measurable function on the segment [0, 1] by Kantorovich type operatorsBn(f)(x)=∑j=0nCnjxj(1−x)n−jFj(f), where Fj are functionals with sufficiently small supports and certain symmetry. The result obtained is sharp.

UR - http://www.scopus.com/inward/record.url?scp=85127697927&partnerID=8YFLogxK

U2 - 10.1007/s10958-022-05788-x

DO - 10.1007/s10958-022-05788-x

M3 - Article

AN - SCOPUS:85127697927

VL - 261

SP - 773

EP - 791

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 6

ER -

ID: 115436976