Limit Theorems of Polynomial Approximation with Exponential Weights (Memoirs of the American Mathematical Society 192, 897)
By: Michael I. Ganzburg (author)Paperback
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The author develops the limit relations between the errors of polynomial approximation in weighted metrics and apply them to various problems in approximation theory such as asymptotically best constants, convergence of polynomials, approximation of individual functions, and multidimensional limit theorems of polynomial approximation.
Introduction Statement of main results Properties of harmonic functions Polynomial inequalities with exponential weights Entire functions of exponential type and their approximation properties Polynomial interpolation and approximation of entire functions of exponential type Proofs of the limit theorems Applications Multidimensional limit theorems of polynomial approximation with exponential weights Examples Appendix A. Negativity of a kernel Bibliography Index.
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- ID: 9780821840634
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