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Necessary and sufficient nonnegativity conditions for second-order coordinate trigonometric splines. / Dem’yanovich, Yu. K.; Makarov, A. A.

In: Vestnik St. Petersburg University: Mathematics, Vol. 50, No. 1, 2017, p. 5-10.

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

Harvard

Dem’yanovich, YK & Makarov, AA 2017, 'Necessary and sufficient nonnegativity conditions for second-order coordinate trigonometric splines', Vestnik St. Petersburg University: Mathematics, vol. 50, no. 1, pp. 5-10.

APA

Dem’yanovich, Y. K., & Makarov, A. A. (2017). Necessary and sufficient nonnegativity conditions for second-order coordinate trigonometric splines. Vestnik St. Petersburg University: Mathematics, 50(1), 5-10.

Vancouver

Dem’yanovich YK, Makarov AA. Necessary and sufficient nonnegativity conditions for second-order coordinate trigonometric splines. Vestnik St. Petersburg University: Mathematics. 2017;50(1):5-10.

Author

Dem’yanovich, Yu. K. ; Makarov, A. A. / Necessary and sufficient nonnegativity conditions for second-order coordinate trigonometric splines. In: Vestnik St. Petersburg University: Mathematics. 2017 ; Vol. 50, No. 1. pp. 5-10.

BibTeX

@article{5181f6939079451c9aeac8f2a87d1fe9,
title = "Necessary and sufficient nonnegativity conditions for second-order coordinate trigonometric splines",
abstract = "Necessary and sufficient nonnegativity conditions for continuous differentiable coordinate trigonometric splines of the second order are obtained; the convexity and concavity intervals of these splines are determined. The method of investigation consists in recognizing concavity in intervals adjacent to the endpoints of the support of a coordinate spline under consideration and applying arguments related to the number of zeros of the solution of the corresponding boundary value problem for a second-order differential equation.",
keywords = "nonnegativity, coordinate splines, Trigonometric splines",
author = "Dem{\textquoteright}yanovich, {Yu. K.} and Makarov, {A. A.}",
note = "Dem{\textquoteright}yanovich, Y.K., Makarov, A.A. Necessary and sufficient nonnegativity conditions for second-order coordinate trigonometric splines. Vestnik St.Petersb. Univ.Math. 50, 5–10 (2017). https://doi.org/10.3103/S1063454117010034",
year = "2017",
language = "English",
volume = "50",
pages = "5--10",
journal = "Vestnik St. Petersburg University: Mathematics",
issn = "1063-4541",
publisher = "Pleiades Publishing",
number = "1",

}

RIS

TY - JOUR

T1 - Necessary and sufficient nonnegativity conditions for second-order coordinate trigonometric splines

AU - Dem’yanovich, Yu. K.

AU - Makarov, A. A.

N1 - Dem’yanovich, Y.K., Makarov, A.A. Necessary and sufficient nonnegativity conditions for second-order coordinate trigonometric splines. Vestnik St.Petersb. Univ.Math. 50, 5–10 (2017). https://doi.org/10.3103/S1063454117010034

PY - 2017

Y1 - 2017

N2 - Necessary and sufficient nonnegativity conditions for continuous differentiable coordinate trigonometric splines of the second order are obtained; the convexity and concavity intervals of these splines are determined. The method of investigation consists in recognizing concavity in intervals adjacent to the endpoints of the support of a coordinate spline under consideration and applying arguments related to the number of zeros of the solution of the corresponding boundary value problem for a second-order differential equation.

AB - Necessary and sufficient nonnegativity conditions for continuous differentiable coordinate trigonometric splines of the second order are obtained; the convexity and concavity intervals of these splines are determined. The method of investigation consists in recognizing concavity in intervals adjacent to the endpoints of the support of a coordinate spline under consideration and applying arguments related to the number of zeros of the solution of the corresponding boundary value problem for a second-order differential equation.

KW - nonnegativity

KW - coordinate splines

KW - Trigonometric splines

UR - https://link.springer.com/article/10.3103/S1063454117010034

M3 - Article

VL - 50

SP - 5

EP - 10

JO - Vestnik St. Petersburg University: Mathematics

JF - Vestnik St. Petersburg University: Mathematics

SN - 1063-4541

IS - 1

ER -

ID: 7744896