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Approximation with Polynomial and Trigonometric Splines of the Third Order and the Interval Estimation. / Burova, I. G.; Muzafarova, E. F.

Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020. Institute of Electrical and Electronics Engineers Inc., 2020. p. 117-120 9402649 (Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020).

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

Harvard

Burova, IG & Muzafarova, EF 2020, Approximation with Polynomial and Trigonometric Splines of the Third Order and the Interval Estimation. in Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020., 9402649, Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020, Institute of Electrical and Electronics Engineers Inc., pp. 117-120, 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020, Platanias, Chania, Crete Island, Greece, 19/07/20. https://doi.org/10.1109/CSCC49995.2020.00028

APA

Burova, I. G., & Muzafarova, E. F. (2020). Approximation with Polynomial and Trigonometric Splines of the Third Order and the Interval Estimation. In Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020 (pp. 117-120). [9402649] (Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CSCC49995.2020.00028

Vancouver

Burova IG, Muzafarova EF. Approximation with Polynomial and Trigonometric Splines of the Third Order and the Interval Estimation. In Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020. Institute of Electrical and Electronics Engineers Inc. 2020. p. 117-120. 9402649. (Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020). https://doi.org/10.1109/CSCC49995.2020.00028

Author

Burova, I. G. ; Muzafarova, E. F. / Approximation with Polynomial and Trigonometric Splines of the Third Order and the Interval Estimation. Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020. Institute of Electrical and Electronics Engineers Inc., 2020. pp. 117-120 (Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020).

BibTeX

@inproceedings{f9b43d145f7644e18f3934d8dd742300,
title = "Approximation with Polynomial and Trigonometric Splines of the Third Order and the Interval Estimation",
abstract = "This work is one of a series of papers that is devoted to the further investigation of polynomial and trigonometric splines of the third order approximation. Polynomial basis splines are better known and therefore more commonly used. However, the use of trigonometric basis splines often provides a smaller approximation error. Here we discuss the interval estimation with the polynomial or trigonometric basis splines which are useful for the approximation of functions with one or two variables. For each grid interval we construct the approximation separately. We construct the interval estimation of approximation also separately on the each grid interval. The one-dimensional polynomial or trigonometric basis splines of the third order approximation are constructed when the values of the function are known in each point of interpolation. Numerical examples are represented.",
keywords = "Interpolation, Interval Estimation, Polynomial splines, Trigonometric Splines",
author = "Burova, {I. G.} and Muzafarova, {E. F.}",
note = "Publisher Copyright: {\textcopyright} 2020 IEEE. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.; 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/CSCC49995.2020.00028",
language = "English",
series = "Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "117--120",
booktitle = "Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020",
address = "United States",

}

RIS

TY - GEN

T1 - Approximation with Polynomial and Trigonometric Splines of the Third Order and the Interval Estimation

AU - Burova, I. G.

AU - Muzafarova, E. F.

N1 - Publisher Copyright: © 2020 IEEE. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.

PY - 2020/7

Y1 - 2020/7

N2 - This work is one of a series of papers that is devoted to the further investigation of polynomial and trigonometric splines of the third order approximation. Polynomial basis splines are better known and therefore more commonly used. However, the use of trigonometric basis splines often provides a smaller approximation error. Here we discuss the interval estimation with the polynomial or trigonometric basis splines which are useful for the approximation of functions with one or two variables. For each grid interval we construct the approximation separately. We construct the interval estimation of approximation also separately on the each grid interval. The one-dimensional polynomial or trigonometric basis splines of the third order approximation are constructed when the values of the function are known in each point of interpolation. Numerical examples are represented.

AB - This work is one of a series of papers that is devoted to the further investigation of polynomial and trigonometric splines of the third order approximation. Polynomial basis splines are better known and therefore more commonly used. However, the use of trigonometric basis splines often provides a smaller approximation error. Here we discuss the interval estimation with the polynomial or trigonometric basis splines which are useful for the approximation of functions with one or two variables. For each grid interval we construct the approximation separately. We construct the interval estimation of approximation also separately on the each grid interval. The one-dimensional polynomial or trigonometric basis splines of the third order approximation are constructed when the values of the function are known in each point of interpolation. Numerical examples are represented.

KW - Interpolation

KW - Interval Estimation

KW - Polynomial splines

KW - Trigonometric Splines

UR - http://www.scopus.com/inward/record.url?scp=85105293269&partnerID=8YFLogxK

U2 - 10.1109/CSCC49995.2020.00028

DO - 10.1109/CSCC49995.2020.00028

M3 - Conference contribution

AN - SCOPUS:85105293269

T3 - Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020

SP - 117

EP - 120

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: 76977396