Оn assignment of additional conditions in the method ofconstruction of a spline preserving the integral of a function over its domain | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2010. № 1(9).

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Оn assignment of additional conditions in the method ofconstruction of a spline preserving the integral of a function over its domain

In the presentwork are being studied ways of assignment of additional conditions, which are necessary forfinding the coefficients of the spline, approximating the function of one variable in such a waythat integrals over the region of definition of the spline and the function are equal.

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Keywords

approximation error estimation, approximation of a function of one variable, Spline approximation, оценивание погрешности приближения, приближение функции одной переменной, аппроксимация сплайнами

Authors

NameOrganizationE-mail
Fedorova O.P.opf@math.tsu.ru
Kulish O.V.
Всего: 2

References

Самарский А.А., Николаев Е.С. Методы решения сеточных уравнений. М.: Наука, 1978. 589 с.
Завьялов Ю.С., Квасов Б.И., Мирошниченко В.Л. Методы сплайн-функций. М.: Наука, 1980. 352 с.
Федорова О.П. Об одном подходе к приближению функций сплайнами // Вестник ТГУ. Математика и механика. 2008. № 2(3). С. 61 - 66.
Оn assignment of additional conditions in the method ofconstruction of a spline preserving the integral of a function over its domain | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2010. № 1(9).

Оn assignment of additional conditions in the method ofconstruction of a spline preserving the integral of a function over its domain | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2010. № 1(9).

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