2017
Том 69
№ 9

All Issues

Method of Generalized Moment Representations in the Theory of Rational Approximation (A Survey)

Golub A. P.

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Abstract

We give a survey of the method of generalized moment representations introduced by Dzyadyk in 1981 and its applications to Padé approximations. In particular, some properties of biorthogonal polynomials are investigated and numerous important examples are given. We also consider applications of this method to joint Padé approximations, Padé–Chebyshev approximations, Hermite–Padé approximations, and two-point Padé approximations.

English version (Springer): Ukrainian Mathematical Journal 55 (2003), no. 3, pp 377-433.

Citation Example: Golub A. P. Method of Generalized Moment Representations in the Theory of Rational Approximation (A Survey) // Ukr. Mat. Zh. - 2003. - 55, № 3. - pp. 307-359.

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