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

In: Journal of Mathematical Sciences (United States), Vol. 261, No. 6, 01.03.2022, p. 773-791.

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

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), vol. 261, no. 6, pp. 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 Mar 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. In: Journal of Mathematical Sciences (United States). 2022 ; Vol. 261, No. 6. pp. 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