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Estimation of the closeness of partial sums of expansions in eigenfunctions of a Sturm-Liouville operator with discontinuous coefficients. (Russian. Russian summary)статья
Информация о цитировании статьи получена из
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Дата последнего поиска статьи во внешних источниках: 27 мая 2015 г.
- Авторы: Budak A.B., Denisov V.N.
- Журнал: Differential Equations
- Том: 28
- Номер: 6
- Год издания: 1992
- Издательство: Pleiades Publishing, Inc.
- Местоположение издательства: New York, USA
- Первая страница: 752
- Последняя страница: 762
- Аннотация: We establish the orders of closeness with respect to μ as μ → + ∞ of partial sums of order μ of expansions in eigenfunctions of a Sturm-Liouville operator of an absolutely continuous function and an absolutely continuous function with a compact support f(x) and a modified partial sum of order μ of a trigonometric series of a modified function f~ x0 (x) at a point of discontinuity x = x0 of the coefficients of the operator. Based on these results we obtain estimates for the closeness of the partial sums of order μ as μ → + ∞ of expansions of functions of the classes indicated associated with two selfadjoint extensions of Sturm-Liouville operators with discontinuous coefficients at a point x=x 0 of discontinuity of their coefficients.
- Добавил в систему: Будак Александр Борисович