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An extension of the theory of orthogonal polynomials and Gaussian quadrature to trigonometric and hyperbolic polynomials

✍ Scribed by Per Erik Koch

Book ID
107776922
Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
995 KB
Volume
43
Category
Article
ISSN
0021-9045

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πŸ“œ SIMILAR VOLUMES

Theory and use of functionals on the cla
Theory and use of functionals on the class of nonnegative polynomials and quadrature formulae
✍ A.V. Reztsov; G.C. Wake πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 702 KB

functional of special type on classes of nonnegative polynomials is studied, which is helpful for the investigation of packings and cubature formulae. This functional in the classical csse plays a very important role in analysis. The corresponding extremal problem is solved with the help of Legendre

Ratio and Relative Asymptotics of Polyno
Ratio and Relative Asymptotics of Polynomials Orthogonal on an Arc of the Unit Circle
✍ M Bello HernΓ‘ndez; G LΓ³pez Lagomasino πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 483 KB

Ratio and relative asymptotics are given for sequences of polynomials orthogonal with respect to measures supported on an arc of the unit circle, where their absolutely continuous component is positive almost everywhere. The results obtained extend to this setting known ones given by Rakhmanov and M