Analytic aspects of Sobolev orthogonal polynomials revisited. (English) Zbl 0971.33004

Martínez-Finkelshtein, A.

J. Comput. Appl. Math. 127, No. 1-2, 255-266 (2001).

The author refreshes his survey paper published in J. Comput. Appl. Math. 99, 491-510 (1998; Zbl 0933.42013) and includes some topics where progress has been made in the two intervening years. The original paper also treats the analytic theory of polynomials orthogonal with respect to inner products involving derivatives. Asymptotic properties, zero location, approximation and moment theory are some of the topic considered. The references contains 36 items.

Reviewer: Laszlo Leindler (Szeged)

MSC:

33C45	Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)
33-02	Research exposition (monographs, survey articles) pertaining to special functions

Citations:

Zbl 0933.42013

References:

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