Standard
On Construction of Singular Splines. / Dem'yanovich, Yu K.; Evdokimova, T. O.; Ivantsova, O. N.; Lebedinskii, D. M.; Ponomareva, A. Y.
Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020. Institute of Electrical and Electronics Engineers Inc., 2020. стр. 135-139 9402424 (Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020).
Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
Harvard
Dem'yanovich, YK, Evdokimova, TO, Ivantsova, ON, Lebedinskii, DM & Ponomareva, AY 2020,
On Construction of Singular Splines. в
Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020., 9402424, Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020, Institute of Electrical and Electronics Engineers Inc., стр. 135-139, 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020, Platanias, Chania, Crete Island, Греция,
19/07/20.
https://doi.org/10.1109/CSCC49995.2020.00032
APA
Dem'yanovich, Y. K., Evdokimova, T. O., Ivantsova, O. N., Lebedinskii, D. M., & Ponomareva, A. Y. (2020).
On Construction of Singular Splines. в
Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020 (стр. 135-139). [9402424] (Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020). Institute of Electrical and Electronics Engineers Inc..
https://doi.org/10.1109/CSCC49995.2020.00032
Vancouver
Dem'yanovich YK, Evdokimova TO, Ivantsova ON, Lebedinskii DM, Ponomareva AY.
On Construction of Singular Splines. в Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020. Institute of Electrical and Electronics Engineers Inc. 2020. стр. 135-139. 9402424. (Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020).
https://doi.org/10.1109/CSCC49995.2020.00032
Author
Dem'yanovich, Yu K. ; Evdokimova, T. O. ; Ivantsova, O. N. ; Lebedinskii, D. M. ; Ponomareva, A. Y. /
On Construction of Singular Splines. Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020. Institute of Electrical and Electronics Engineers Inc., 2020. стр. 135-139 (Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020).
BibTeX
@inproceedings{4f3157c25a794f3396733fe9a01f7b04,
title = "On Construction of Singular Splines",
abstract = "One of the approaches to the problem of approximating functions with a singularity is the creation of an approximating apparatus based on splines with the same feature. For spline-wavelet decomposition of spline spaces it is important that the property of the embedding of these spaces is associated with the embedding grids. In this paper the approximation relations are considered to determine coordinate splines with a predefined singularity. The concept of generalized smoothness is introduced. It allows us to consider functions with singularity as generalized smooth functions. Corresponding approximation relations are constructed. The existence and uniqueness of coordinate splines with the mentioned feature are established. The linear shells of the coordinate splines are spaces with the property of embedding on embedding grids.",
keywords = "approximation relations, embedding spaces, generalized smoothness, singular splines",
author = "Dem'yanovich, {Yu K.} and Evdokimova, {T. O.} and Ivantsova, {O. N.} and Lebedinskii, {D. M.} and Ponomareva, {A. Y.}",
note = "Publisher Copyright: {\textcopyright} 2020 IEEE.; 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020 ; Conference date: 19-07-2020 Through 22-07-2020",
year = "2020",
month = jul,
doi = "10.1109/CSCC49995.2020.00032",
language = "English",
series = "Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "135--139",
booktitle = "Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020",
address = "United States",
}
RIS
TY - GEN
T1 - On Construction of Singular Splines
AU - Dem'yanovich, Yu K.
AU - Evdokimova, T. O.
AU - Ivantsova, O. N.
AU - Lebedinskii, D. M.
AU - Ponomareva, A. Y.
N1 - Publisher Copyright:
© 2020 IEEE.
PY - 2020/7
Y1 - 2020/7
N2 - One of the approaches to the problem of approximating functions with a singularity is the creation of an approximating apparatus based on splines with the same feature. For spline-wavelet decomposition of spline spaces it is important that the property of the embedding of these spaces is associated with the embedding grids. In this paper the approximation relations are considered to determine coordinate splines with a predefined singularity. The concept of generalized smoothness is introduced. It allows us to consider functions with singularity as generalized smooth functions. Corresponding approximation relations are constructed. The existence and uniqueness of coordinate splines with the mentioned feature are established. The linear shells of the coordinate splines are spaces with the property of embedding on embedding grids.
AB - One of the approaches to the problem of approximating functions with a singularity is the creation of an approximating apparatus based on splines with the same feature. For spline-wavelet decomposition of spline spaces it is important that the property of the embedding of these spaces is associated with the embedding grids. In this paper the approximation relations are considered to determine coordinate splines with a predefined singularity. The concept of generalized smoothness is introduced. It allows us to consider functions with singularity as generalized smooth functions. Corresponding approximation relations are constructed. The existence and uniqueness of coordinate splines with the mentioned feature are established. The linear shells of the coordinate splines are spaces with the property of embedding on embedding grids.
KW - approximation relations
KW - embedding spaces
KW - generalized smoothness
KW - singular splines
UR - http://www.scopus.com/inward/record.url?scp=85105253806&partnerID=8YFLogxK
U2 - 10.1109/CSCC49995.2020.00032
DO - 10.1109/CSCC49995.2020.00032
M3 - Conference contribution
AN - SCOPUS:85105253806
T3 - Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020
SP - 135
EP - 139
BT - Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020
Y2 - 19 July 2020 through 22 July 2020
ER -