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Proceedings of an All-Union School on the Theory of Functions (Miass, July 1989): (Proceedings of the Steklov Institute of Mathematics)

Proceedings of an All-Union School on the Theory of Functions (Miass, July 1989): (Proceedings of the Steklov Institute of Mathematics)

          
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About the Book

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.

Table of Contents:
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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Product Details
  • ISBN-13: 9780821831533
  • Publisher: American Mathematical Society
  • Publisher Imprint: American Mathematical Society
  • Height: 260 mm
  • No of Pages: 255
  • Series Title: Proceedings of the Steklov Institute of Mathematics
  • Width: 184 mm
  • ISBN-10: 0821831534
  • Publisher Date: 01 Dec 1994
  • Binding: Paperback
  • Language: English
  • Returnable: Y
  • Weight: 482 gr


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