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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. p. 135-139 9402424 (Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Dem'yanovich, YK , Evdokimova, TO , Ivantsova, ON , Lebedinskii, DM & Ponomareva, AY 2020, On Construction of Singular Splines. in 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., pp. 135-139, 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020, Platanias, Chania, Crete Island, Greece, 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. In Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020 (pp. 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. In Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020. Institute of Electrical and Electronics Engineers Inc. 2020. p. 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. pp. 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.

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 -

ID: 85770455