Proceedings of the Steklov Institute of Mathematics 1994; 255 pp; softcover Volume: 198 ISBN10: 0821831534 ISBN13: 9780821831533 List Price: US$208 Member Price: US$166.40 Order Code: STEKLO/198
 This volume contains papers presented at the AllUnion 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. Readership Research mathematicians. Table of Contents  V. V. Arestov  Best approximation of translation invariant unbounded operators by bounded linear operators
 M.B. A. Babaev  On the order of approximation of the Sobolev class \(W_q^r\) by bilinear forms in \(L_p\) for \(1\le q\le 2\le p\le \infty\)
 V. M. Badkov  Asymptotic and extremal properties of orthogonal polynomials in the presence of singularities in the weight
 Yu. S. Vasil'ev  Approximation by splines on an infinite interval
 S. V. Konyagin  On estimates of Gaussian sums and Waring's problem for a prime modulus
 O. V. Matveev  Spline interpolation of functions of several variables, and bases in Sobolev spaces
 A. V. Reztsov  On errors of parallelepiped cubature formulas on classes of differentiable functions
 V. V. Tarkaev  On divergence of Fourier series in rearranged Price systems
 D. S. Telyakovskiĭ  On asymptotically monogenic functions
 S. A. Telyakovskiĭ  On approximation of differentiable functions of high smoothness by Fourier sums
 N. N. Kholshchevnikova  On some thin sets in the theory of functions and topology
 I. G. Tsar'kov  Widths and an inequality of Jackson type for abstract functions
 N. I. Chernykh  Jackson's inequality in \(L_p(0,2\pi )\) \((1\le p< 2)\) with sharp constant
 V. T. Shevaldin  Lower estimates of the widths of some classes of periodic functions
