Methods of Approximation Theory in Complex Analysis and Mathematical Physics: Leningrad, May 13–24, 1991 [1 ed.] 3540569316, 9783540569312
The book incorporates research papers and surveys written by participants ofan International Scientific Programme on App
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English Pages 222 [224] Year 1993
Table of contents :
Bernstein theorems for harmonic functions....Pages 7-18
Spectral theory of nonlinear equations and n -widths of Sobolev spaces....Pages 19-30
On wavelet analysis....Pages 31-42
Polynomials orthogonal on the unit circle with random recurrence coefficients....Pages 43-61
Using the refinement equation for the construction of pre-wavelets IV: Cube splines and elliptic splines united....Pages 62-70
Strong asymptotics for orthogonal polynomials....Pages 71-97
Exact convergence rates for best L P rational approximation to the signum function and for optimal quadrature in H P ....Pages 98-109
Uniform rational approximation of | X |....Pages 110-130
Classical biorthogonal rational functions....Pages 131-146
A direct proof for Trefethen’s conjecture....Pages 147-148
Approximation properties of harmonic vector fields and differential forms....Pages 149-156
A problem of Axler and Shields on nontangential limits and maximal ideal space of some pseudonanalytic algebras....Pages 157-159
Degree of approximation of analytic functions by “near the best” polynomial approximants....Pages 160-163
Extremal problems for Blaschke products and widths....Pages 164-168
On the convergence of Bieberbach polynomials in domains with interior zero angles....Pages 169-172
Duality principle in linearized rational approximation....Pages 173-177
Universality of the fibonacci cubature formulas....Pages 178-184
Parameters of orthogonal polynomials....Pages 185-191
Some numerical results on best uniform polynomial approximation of X α on [0, 1]....Pages 192-222
Bernstein theorems for harmonic functions....Pages 7-18
Spectral theory of nonlinear equations and n -widths of Sobolev spaces....Pages 19-30
On wavelet analysis....Pages 31-42
Polynomials orthogonal on the unit circle with random recurrence coefficients....Pages 43-61
Using the refinement equation for the construction of pre-wavelets IV: Cube splines and elliptic splines united....Pages 62-70
Strong asymptotics for orthogonal polynomials....Pages 71-97
Exact convergence rates for best L P rational approximation to the signum function and for optimal quadrature in H P ....Pages 98-109
Uniform rational approximation of | X |....Pages 110-130
Classical biorthogonal rational functions....Pages 131-146
A direct proof for Trefethen’s conjecture....Pages 147-148
Approximation properties of harmonic vector fields and differential forms....Pages 149-156
A problem of Axler and Shields on nontangential limits and maximal ideal space of some pseudonanalytic algebras....Pages 157-159
Degree of approximation of analytic functions by “near the best” polynomial approximants....Pages 160-163
Extremal problems for Blaschke products and widths....Pages 164-168
On the convergence of Bieberbach polynomials in domains with interior zero angles....Pages 169-172
Duality principle in linearized rational approximation....Pages 173-177
Universality of the fibonacci cubature formulas....Pages 178-184
Parameters of orthogonal polynomials....Pages 185-191
Some numerical results on best uniform polynomial approximation of X α on [0, 1]....Pages 192-222
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