Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
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. стр. 117-120 9402649 (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
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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