𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Orthogonality, interpolation and quadratures on the unit circle and the interval

✍ Scribed by Ruymán Cruz-Barroso; Pablo González-Vera; Francisco Perdomo-Pío


Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
349 KB
Volume
235
Category
Article
ISSN
0377-0427

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Lebesgue Sobolev orthogonality on the un
✍ E. Berriochoa; A. Cachafeiro 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 294 KB

This paper is devoted to the study of asymptotic properties of the orthogonal polynomials with respect to a Sobolev inner product 2n P /'2n ('(z),y(z))s= fo '(eiO)~d/~(0)+ ~2' J0 f(k'(eiO)~2~' z= ei°' with d/~(0) a finite positive Borel measure on [0,2n] with an infinite set as support verifying the

Fractal interpolants on the unit circle
✍ M.A. Navascués 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 305 KB

A methodology based on fractal interpolation functions is used in this work to define new real maps on the circle generalizing the classical ones. A partition on the circle and a scale vector enable the modification of the definition and properties of the standard periodic functions. The fractal ana

Szegö polynomials and quadrature formula
✍ Leyla Daruis; Pablo González-Vera 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 354 KB

In this paper, computation of the so-called Szegö quadrature formulas is considered for some special weight functions on the unit circle. The case of the Lebesgue measure is more deeply analyzed. Illustrative numerical examples are also given.