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Bounds for an interval polynomial

✍ Scribed by J. Rokne

Publisher
Springer Vienna
Year
1977
Tongue
English
Weight
662 KB
Volume
18
Category
Article
ISSN
0010-485X

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πŸ“œ SIMILAR VOLUMES

Bounds and Inequalities for Arbitrary Or
Bounds and Inequalities for Arbitrary Orthogonal Polynomials on Finite Intervals
✍ Y.G. Shi πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 296 KB

In this paper, using the approach developed by the author in a previous paper, we deduce some bounds and inequalities for arbitrary orthogonal polynomials on finite intervals and give their various applications. 1995 Academic Press. Inc.

Bounds and Inequalities for General Orth
Bounds and Inequalities for General Orthogonal Polynomials on Finite Intervals
✍ Y.G. Shi πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 732 KB

In this paper using a new effective approach we deduce some bounds and inequalities for general orthogonal polynomials on finite intervals and give their applications to convergence of orthogonal Fourier series, Lagrange interpolation, orthogonal series with gaps, and Hermite-FejΓ©r interpolation, as

The growth of laguerre matrix polynomial
The growth of laguerre matrix polynomials on bounded intervals
✍ L. JΓ³dar; J. Sastre πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 371 KB

A be a matrix in Crxp such that R&Z) > -l/2 for all the eigenvalues of A and let {fl(A,'/2) (z)} be the normalized sequence of Laguerre matrix polynomials associated with A. In this paier, it is proved that n, (A,1/2) (x) = o(na(A)/z ln'-l(n)) and ni$,A+':/2' (x uniformly on bounded intervals, wher