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

In: Journal of Mathematical Sciences (United States), Vol. 251, No. 2, 01.11.2020, p. 239-257.

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

Harvard

Ikhsanov, LN 2020, 'Estimates of Approximation by Kantorovich Type Operators in Terms of the Second Modulus of Continuity', Journal of Mathematical Sciences (United States), vol. 251, no. 2, pp. 239-257. https://doi.org/10.1007/s10958-020-05085-5

APA

Ikhsanov, L. N. (2020). Estimates of Approximation by Kantorovich Type Operators in Terms of the Second Modulus of Continuity. Journal of Mathematical Sciences (United States), 251(2), 239-257. https://doi.org/10.1007/s10958-020-05085-5

Vancouver

Ikhsanov LN. Estimates of Approximation by Kantorovich Type Operators in Terms of the Second Modulus of Continuity. Journal of Mathematical Sciences (United States). 2020 Nov 1;251(2):239-257. https://doi.org/10.1007/s10958-020-05085-5

Author

Ikhsanov, L. N. / Estimates of Approximation by Kantorovich Type Operators in Terms of the Second Modulus of Continuity. In: Journal of Mathematical Sciences (United States). 2020 ; Vol. 251, No. 2. pp. 239-257.

BibTeX

@article{4c99edce69084ae5b9b03b203a099108,
title = "Estimates of Approximation by Kantorovich Type Operators in Terms of the Second Modulus of Continuity",
abstract = "We study approximation of bounded measurable functions on the segment [0, 1] by Kantorovich type operatorsBn=∑j=0nCnjxj(1−x)n−jFn,j, where Fn, j are functionals generated by various probability measures with sufficiently small supports. The error of approximation is estimated in terms of the second modulus of continuity. The estimate is sharp.",
author = "Ikhsanov, {L. N.}",
year = "2020",
month = nov,
day = "1",
doi = "10.1007/s10958-020-05085-5",
language = "English",
volume = "251",
pages = "239--257",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "2",

}

RIS

TY - JOUR

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

AU - Ikhsanov, L. N.

PY - 2020/11/1

Y1 - 2020/11/1

N2 - We study approximation of bounded measurable functions on the segment [0, 1] by Kantorovich type operatorsBn=∑j=0nCnjxj(1−x)n−jFn,j, where Fn, j are functionals generated by various probability measures with sufficiently small supports. The error of approximation is estimated in terms of the second modulus of continuity. The estimate is sharp.

AB - We study approximation of bounded measurable functions on the segment [0, 1] by Kantorovich type operatorsBn=∑j=0nCnjxj(1−x)n−jFn,j, where Fn, j are functionals generated by various probability measures with sufficiently small supports. The error of approximation is estimated in terms of the second modulus of continuity. The estimate is sharp.

UR - http://www.scopus.com/inward/record.url?scp=85093524168&partnerID=8YFLogxK

U2 - 10.1007/s10958-020-05085-5

DO - 10.1007/s10958-020-05085-5

M3 - Article

AN - SCOPUS:85093524168

VL - 251

SP - 239

EP - 257

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 2

ER -

ID: 115437022