Тип публикации: статья из журнала

Год издания: 2014

Идентификатор DOI: 10.1134/S0081543814020151

Ключевые слова: approximation, local exponential splines, order estimates

Аннотация: We continue the study of approximation properties of local exponential splines on a uniform grid with step h > 0 corresponding to a linear differential operator L with constant coefficients and real pairwise different roots of the characteristic polynomial (such splines were constructed by E.V. Strelkova and V.T. Shevaldin). We finПоказать полностьюd order estimates as h > 0 for the error of approximation of certain Sobolev classes of functions by splines of the described type that are exact on the kernel of the operator L. © 2014 Pleiades Publishing, Ltd.

Журнал: Proceedings of the Steklov Institute of Mathematics

Выпуск журнала: Vol. 284, Is. SUPPL.1

Номера страниц: 175-184

• Volkov Y.S. (Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russian Federation, Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russian Federation)
• Pytkeev E.G. (Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, ul. S. Kovalevskoi 16, Yekaterinburg, 620990, Russian Federation, Institute of Radioelectronics and Informational Technologies, Ural Federal University,)
• Shevaldin V.T. (Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, ul. S. Kovalevskoi 16, Yekaterinburg, 620990, Russian Federation, Graduate School of Economics and Management, Ural Federal University, ul. Mira 19, Y)

• Scopus