On approximations of the sixth order with the smooth polynomial and non-polynomial splines

Standard

On approximations of the sixth order with the smooth polynomial and non-polynomial splines. / Burova, I. G.

Proceedings - 2nd International Conference on Mathematics and Computers in Science and Engineering, MACISE 2020. Institute of Electrical and Electronics Engineers Inc., 2020. стр. 297-300 9195628 (Proceedings - 2nd International Conference on Mathematics and Computers in Science and Engineering, MACISE 2020).

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Harvard

Burova, IG 2020, On approximations of the sixth order with the smooth polynomial and non-polynomial splines. в Proceedings - 2nd International Conference on Mathematics and Computers in Science and Engineering, MACISE 2020., 9195628, Proceedings - 2nd International Conference on Mathematics and Computers in Science and Engineering, MACISE 2020, Institute of Electrical and Electronics Engineers Inc., стр. 297-300, 2nd International Conference on Mathematics and Computers in Science and Engineering, MACISE 2020, Madrid, Испания, 18/01/20. https://doi.org/10.1109/MACISE49704.2020.00062

APA

Burova, I. G. (2020). On approximations of the sixth order with the smooth polynomial and non-polynomial splines. в Proceedings - 2nd International Conference on Mathematics and Computers in Science and Engineering, MACISE 2020 (стр. 297-300). [9195628] (Proceedings - 2nd International Conference on Mathematics and Computers in Science and Engineering, MACISE 2020). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/MACISE49704.2020.00062

Vancouver

Burova IG. On approximations of the sixth order with the smooth polynomial and non-polynomial splines. в Proceedings - 2nd International Conference on Mathematics and Computers in Science and Engineering, MACISE 2020. Institute of Electrical and Electronics Engineers Inc. 2020. стр. 297-300. 9195628. (Proceedings - 2nd International Conference on Mathematics and Computers in Science and Engineering, MACISE 2020). https://doi.org/10.1109/MACISE49704.2020.00062

Author

Burova, I. G. / On approximations of the sixth order with the smooth polynomial and non-polynomial splines. Proceedings - 2nd International Conference on Mathematics and Computers in Science and Engineering, MACISE 2020. Institute of Electrical and Electronics Engineers Inc., 2020. стр. 297-300 (Proceedings - 2nd International Conference on Mathematics and Computers in Science and Engineering, MACISE 2020).

BibTeX

@inproceedings{f2faf98832f748f198d34d2935746276,

title = "On approximations of the sixth order with the smooth polynomial and non-polynomial splines",

abstract = "This paper discusses twice continuously differentiable and three times continuously differentiable approximations with polynomial and non-polynomial splines. To construct the approximation, a polynomial and non-polynomial local basis of the second level and the sixth order approximation is constructed. We call the approximation a second level approximation because it uses the first and the second derivatives of the function. The non-polynomial approximation has the properties of polynomial and trigonometric functions. Here we have also constructed a non-polynomial interpolating spline which has the first, the second and the third continuous derivative. This approximation uses the values of the function at the nodes, the values of the first derivative of the function at the nodes and the values of the second derivative of the function at the ends of the interval [a, b]. The theorems of the approximations are given. Numerical examples are given. ",

keywords = "smooth non-polynomial splines, smooth polynomial splines",

author = "Burova, {I. G.}",

note = "Publisher Copyright: {\textcopyright} 2020 IEEE. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.; 2nd International Conference on Mathematics and Computers in Science and Engineering, MACISE 2020 ; Conference date: 18-01-2020 Through 20-01-2020",

year = "2020",

month = jan,

doi = "10.1109/MACISE49704.2020.00062",

language = "English",

isbn = "9781728166957",

series = "Proceedings - 2nd International Conference on Mathematics and Computers in Science and Engineering, MACISE 2020",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "297--300",

booktitle = "Proceedings - 2nd International Conference on Mathematics and Computers in Science and Engineering, MACISE 2020",

address = "United States",

}

RIS

TY - GEN

T1 - On approximations of the sixth order with the smooth polynomial and non-polynomial splines

AU - Burova, I. G.

PY - 2020/1

Y1 - 2020/1

N2 - This paper discusses twice continuously differentiable and three times continuously differentiable approximations with polynomial and non-polynomial splines. To construct the approximation, a polynomial and non-polynomial local basis of the second level and the sixth order approximation is constructed. We call the approximation a second level approximation because it uses the first and the second derivatives of the function. The non-polynomial approximation has the properties of polynomial and trigonometric functions. Here we have also constructed a non-polynomial interpolating spline which has the first, the second and the third continuous derivative. This approximation uses the values of the function at the nodes, the values of the first derivative of the function at the nodes and the values of the second derivative of the function at the ends of the interval [a, b]. The theorems of the approximations are given. Numerical examples are given.

AB - This paper discusses twice continuously differentiable and three times continuously differentiable approximations with polynomial and non-polynomial splines. To construct the approximation, a polynomial and non-polynomial local basis of the second level and the sixth order approximation is constructed. We call the approximation a second level approximation because it uses the first and the second derivatives of the function. The non-polynomial approximation has the properties of polynomial and trigonometric functions. Here we have also constructed a non-polynomial interpolating spline which has the first, the second and the third continuous derivative. This approximation uses the values of the function at the nodes, the values of the first derivative of the function at the nodes and the values of the second derivative of the function at the ends of the interval [a, b]. The theorems of the approximations are given. Numerical examples are given.

KW - smooth non-polynomial splines

KW - smooth polynomial splines

UR - http://www.scopus.com/inward/record.url?scp=85092709762&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/79e0c1f9-904d-3a0a-b934-ccd5262dd658/

U2 - 10.1109/MACISE49704.2020.00062

DO - 10.1109/MACISE49704.2020.00062

M3 - Conference contribution

AN - SCOPUS:85092709762

SN - 9781728166957

T3 - Proceedings - 2nd International Conference on Mathematics and Computers in Science and Engineering, MACISE 2020

SP - 297

EP - 300

BT - Proceedings - 2nd International Conference on Mathematics and Computers in Science and Engineering, MACISE 2020

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2nd International Conference on Mathematics and Computers in Science and Engineering, MACISE 2020

Y2 - 18 January 2020 through 20 January 2020

ER -

ID: 71558379