Progress in Approximation Theory: An International Perspective [Softcover reprint of the original 1st ed. 1992] 146127737X, 9781461277378, 9781461229667, 1461229669

Designed to give a contemporary international survey of research activities in approximation theory and special function

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English Pages 451 [463] Year 1992

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Progress in Approximation Theory: An International Perspective [Softcover reprint of the original 1st ed. 1992]
 146127737X, 9781461277378, 9781461229667, 1461229669

Table of contents :
Front Matter....Pages i-xviii
Difference Hypergeometric Functions....Pages 1-35
Padé Approximants for Some q-Hypergeometric Functions....Pages 37-50
Summation Theorems for Basic Hypergeometric Series of Schur Function Argument....Pages 51-77
Orthogonal Polynomials, Recurrences, Jacobi Matrices, and Measures....Pages 79-104
Szegő Type Asymptotics for Minimal Blaschke Products....Pages 105-126
Asymptotics of Hermite-Padé Polynomials....Pages 127-167
On the Rate of Convergence of Padé Approximants of Orthogonal Expansions....Pages 169-190
Spurious Poles in Diagonal Rational Approximation....Pages 191-213
Expansions for Integrals Relative to Invariant Measures Determined by Contractive Affine Maps....Pages 215-239
Approximation of Measures by Fractal Generation Techniques....Pages 241-260
Nonlinear Wavelet Approximation in the Space C ( R d )....Pages 261-283
Completeness of Systems of Translates and Uniqueness Theorems for Asymptotically Holomorphic Functions....Pages 285-293
Approximation by Entire Functions and Analytic Continuation....Pages 295-313
Quasi-Orthogonal Hilbert Space Decompositions and Estimates of Univalent Functions. II....Pages 315-331
On the Differential Properties of the Rearrangements of Functions....Pages 333-352
A Class of I.M. Vinogradov’s Series and Its Applications in Harmonic Analysis....Pages 353-402
A Lower Bound for the de Bruijn-Newman Constant Λ. II....Pages 403-418
On the Denseness of Weighted Incomplete Approximations....Pages 419-429
Asymptotics of Weighted Polynomials....Pages 431-451

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