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A Comparison of Approximations with left, right and middle Integro-Differential Polynomial Splines of the Fifth Order. / Burova, I. G.; Doronina, A. G.; Miroshnichenko, I. D.

In: WSEAS Transactions on Mathematics, Vol. 16, 2017, p. 339-349.

Research output: Contribution to journal › Article › peer-review

Harvard

Burova, IG, Doronina, AG & Miroshnichenko, ID 2017, 'A Comparison of Approximations with left, right and middle Integro-Differential Polynomial Splines of the Fifth Order', WSEAS Transactions on Mathematics, vol. 16, pp. 339-349.

APA

Burova, I. G., Doronina, A. G., & Miroshnichenko, I. D. (2017). A Comparison of Approximations with left, right and middle Integro-Differential Polynomial Splines of the Fifth Order. WSEAS Transactions on Mathematics, 16, 339-349.

Vancouver

Burova IG, Doronina AG, Miroshnichenko ID. A Comparison of Approximations with left, right and middle Integro-Differential Polynomial Splines of the Fifth Order. WSEAS Transactions on Mathematics. 2017;16:339-349.

Author

Burova, I. G. ; Doronina, A. G. ; Miroshnichenko, I. D. / A Comparison of Approximations with left, right and middle Integro-Differential Polynomial Splines of the Fifth Order. In: WSEAS Transactions on Mathematics. 2017 ; Vol. 16. pp. 339-349.

BibTeX

@article{8ddc7ad991e14254a112246ea3d45bc9,
title = "A Comparison of Approximations with left, right and middle Integro-Differential Polynomial Splines of the Fifth Order",
abstract = "This paper deals with the construction of integro-differential polynomial splines of the fifth order on a uniform grid of nodes. It is supposed that values of function in nodes and the values of integrals over intervals are known. The properties of the left, the right and the middle integro-differential polynomial splines are investigated. The approximation with these splines is constructed on every grid interval separately. The results of numerical approximation by the left, the right, and the middle integro-differential splines show that the middle splines are preferable. Errors of approximation of the left, the right and the middle integro-differential polynomial splines of one variable of the fifth order are given. The approximation of functions of two variables is constructed using the tensor product. Numerical examples are presented.",
keywords = "Approximation, Integro-differential polynomial splines, Tensor product",
author = "Burova, {I. G.} and Doronina, {A. G.} and Miroshnichenko, {I. D.}",
year = "2017",
language = "English",
volume = "16",
pages = "339--349",
journal = "WSEAS Transactions on Mathematics",
issn = "1109-2769",
publisher = "WORLD SCIENTIFIC PUBL CO PTE LTD",

}

RIS

TY - JOUR

T1 - A Comparison of Approximations with left, right and middle Integro-Differential Polynomial Splines of the Fifth Order

AU - Burova, I. G.

AU - Doronina, A. G.

AU - Miroshnichenko, I. D.

PY - 2017

Y1 - 2017

N2 - This paper deals with the construction of integro-differential polynomial splines of the fifth order on a uniform grid of nodes. It is supposed that values of function in nodes and the values of integrals over intervals are known. The properties of the left, the right and the middle integro-differential polynomial splines are investigated. The approximation with these splines is constructed on every grid interval separately. The results of numerical approximation by the left, the right, and the middle integro-differential splines show that the middle splines are preferable. Errors of approximation of the left, the right and the middle integro-differential polynomial splines of one variable of the fifth order are given. The approximation of functions of two variables is constructed using the tensor product. Numerical examples are presented.

AB - This paper deals with the construction of integro-differential polynomial splines of the fifth order on a uniform grid of nodes. It is supposed that values of function in nodes and the values of integrals over intervals are known. The properties of the left, the right and the middle integro-differential polynomial splines are investigated. The approximation with these splines is constructed on every grid interval separately. The results of numerical approximation by the left, the right, and the middle integro-differential splines show that the middle splines are preferable. Errors of approximation of the left, the right and the middle integro-differential polynomial splines of one variable of the fifth order are given. The approximation of functions of two variables is constructed using the tensor product. Numerical examples are presented.

KW - Approximation

KW - Integro-differential polynomial splines

KW - Tensor product

UR - http://www.scopus.com/inward/record.url?scp=85037155239&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:85037155239

VL - 16

SP - 339

EP - 349

JO - WSEAS Transactions on Mathematics

JF - WSEAS Transactions on Mathematics

SN - 1109-2769

ER -

ID: 11347991