Standard

On analogs of Steklov averages for functions defined on convex compact sets in R m. / Dodonov, N. Yu.

в: Journal of Mathematical Sciences , Том 132, № 4, 01.01.2006, стр. 379-399.

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

Harvard

Dodonov, NY 2006, 'On analogs of Steklov averages for functions defined on convex compact sets in R m', Journal of Mathematical Sciences , Том. 132, № 4, стр. 379-399. https://doi.org/10.1007/s10958-005-0505-4

APA

Dodonov, N. Y. (2006). On analogs of Steklov averages for functions defined on convex compact sets in R m. Journal of Mathematical Sciences , 132(4), 379-399. https://doi.org/10.1007/s10958-005-0505-4

Vancouver

Dodonov NY. On analogs of Steklov averages for functions defined on convex compact sets in R m. Journal of Mathematical Sciences . 2006 Янв. 1;132(4):379-399. https://doi.org/10.1007/s10958-005-0505-4

Author

Dodonov, N. Yu. / On analogs of Steklov averages for functions defined on convex compact sets in R m. в: Journal of Mathematical Sciences . 2006 ; Том 132, № 4. стр. 379-399.

BibTeX

@article{10500f981b3c4fd69a7a136442d59c82,
title = "On analogs of Steklov averages for functions defined on convex compact sets in R m",
abstract = "For an arbitrary nondegenerate convex compact set K ⊂ ℝm we construct analogs of Steklov functions. We establish estimates for the seminorms in the space of continuous functions on K in terms of various moduli of continuity. Some uniform approximation aggregates for functions of two variables are also studied. Bibliography: 11 titles.",
author = "Dodonov, {N. Yu}",
year = "2006",
month = jan,
day = "1",
doi = "10.1007/s10958-005-0505-4",
language = "English",
volume = "132",
pages = "379--399",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "4",

}

RIS

TY - JOUR

T1 - On analogs of Steklov averages for functions defined on convex compact sets in R m

AU - Dodonov, N. Yu

PY - 2006/1/1

Y1 - 2006/1/1

N2 - For an arbitrary nondegenerate convex compact set K ⊂ ℝm we construct analogs of Steklov functions. We establish estimates for the seminorms in the space of continuous functions on K in terms of various moduli of continuity. Some uniform approximation aggregates for functions of two variables are also studied. Bibliography: 11 titles.

AB - For an arbitrary nondegenerate convex compact set K ⊂ ℝm we construct analogs of Steklov functions. We establish estimates for the seminorms in the space of continuous functions on K in terms of various moduli of continuity. Some uniform approximation aggregates for functions of two variables are also studied. Bibliography: 11 titles.

UR - http://www.scopus.com/inward/record.url?scp=30344473329&partnerID=8YFLogxK

U2 - 10.1007/s10958-005-0505-4

DO - 10.1007/s10958-005-0505-4

M3 - Review article

AN - SCOPUS:30344473329

VL - 132

SP - 379

EP - 399

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 4

ER -

ID: 50600960