Proceedings of an All-Union School on the Theory of Functions (Miass, July 1989)
著者
書誌事項
Proceedings of an All-Union School on the Theory of Functions (Miass, July 1989)
(Proceedings of the Steklov Institute of Mathematics, v. 198,
American Mathematical Society, c1994
- タイトル別名
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Труды Всесоюзной Школы по Теории Функций (Миасс, июль 1989 г.)
Trudy vsesoi︠u︡znoĭ Shkoly po Teorii Funkt︠s︡iĭ (Miass, ii︠u︡lʹ 1989 g.)
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注記
No. in original Russian series statement: tom 198 (1992)
Includes bibliographies
内容説明・目次
内容説明
This volume contains papers presented at the All-Union School on the Theory of Functions, held in Miass in July 1989. The papers examine topical trends in the theory of functions and their approximation. Among the topics included are extremal properties of functions, approximation and interpolation of functions by trigonometric polynomials and splines, widths of function classes, best approximation of operators, cubature formulas, and classical problems of analytic number theory.
目次
Best approximation of translation invariant unbounded operators by bounded linear operators by V. V. Arestov On the order of approximation of the Sobolev class $W_q^r$ by bilinear forms in $L_p$ for $1\le q\le 2\le p\le \infty$ by M.-B. A. Babaev Asymptotic and extremal properties of orthogonal polynomials in the presence of singularities in the weight by V. M. Badkov Approximation by splines on an infinite interval by Yu. S. Vasilev On estimates of Gaussian sums and Waring's problem for a prime modulus by S. V. Konyagin Spline interpolation of functions of several variables, and bases in Sobolev spaces by O. V. Matveev On errors of parallelepiped cubature formulas on classes of differentiable functions by A. V. Reztsov On divergence of Fourier series in rearranged Price systems by V. V. Tarkaev On asymptotically monogenic functions by D. S. Telyakovskii On approximation of differentiable functions of high smoothness by Fourier sums by S. A. Telyakovskii On some thin sets in the theory of functions and topology by N. N. Kholshchevnikova Widths and an inequality of Jackson type for abstract functions by I. G. Tsarkov Jackson's inequality in $L_p(0,2\pi)$ $(1\le p<2)$ with sharp constant by N. I. Chernykh Lower estimates of the widths of some classes of periodic functions by V. T. Shevaldin.
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