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SHARP ESTIMATE OF APPROXIMATION FOR THE CARDINAL SCHOENBERG OPERATOR. / Ikhsanov, L.

в: Journal of Mathematical Sciences (Series A), 06.02.2026.

Результаты исследований: Научные публикации в периодических изданияхстатьяРецензирование

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Ikhsanov, L. / SHARP ESTIMATE OF APPROXIMATION FOR THE CARDINAL SCHOENBERG OPERATOR. в: Journal of Mathematical Sciences (Series A). 2026.

BibTeX

@article{f920f2e034394a86bb49e8b61bb040e2,
title = "SHARP ESTIMATE OF APPROXIMATION FOR THE CARDINAL SCHOENBERG OPERATOR",
abstract = "We obtain the following estimate. Let Mp be the cardinal B-spline. Then, for every locally bounded function f (Formula presented.) This result is sharp for every irrational number x, and the order of the step is optimal. {\textcopyright} The Author(s), under exclusive licence to Springer Nature Switzerland AG 2026.",
keywords = "Quasi-projectors, Schoenberg operator, Second modulus of continuity, Spline approximation",
author = "L. Ikhsanov",
note = "Export Date: 16 February 2026; Cited By: 0; Correspondence Address: L. Ikhsanov; Saint Petersburg State University, Saint Petersburg, Russian Federation; email: lv.ikhs@gmail.com",
year = "2026",
month = feb,
day = "6",
doi = "10.1007/s10958-026-08185-w",
language = "Английский",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",

}

RIS

TY - JOUR

T1 - SHARP ESTIMATE OF APPROXIMATION FOR THE CARDINAL SCHOENBERG OPERATOR

AU - Ikhsanov, L.

N1 - Export Date: 16 February 2026; Cited By: 0; Correspondence Address: L. Ikhsanov; Saint Petersburg State University, Saint Petersburg, Russian Federation; email: lv.ikhs@gmail.com

PY - 2026/2/6

Y1 - 2026/2/6

N2 - We obtain the following estimate. Let Mp be the cardinal B-spline. Then, for every locally bounded function f (Formula presented.) This result is sharp for every irrational number x, and the order of the step is optimal. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2026.

AB - We obtain the following estimate. Let Mp be the cardinal B-spline. Then, for every locally bounded function f (Formula presented.) This result is sharp for every irrational number x, and the order of the step is optimal. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2026.

KW - Quasi-projectors

KW - Schoenberg operator

KW - Second modulus of continuity

KW - Spline approximation

UR - https://www.mendeley.com/catalogue/2c973c8d-06b4-3feb-bd28-5379257a405a/

U2 - 10.1007/s10958-026-08185-w

DO - 10.1007/s10958-026-08185-w

M3 - статья

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

ER -

ID: 148771233