Interpolatory quadrature formulas on the unit circle for Chebyshev weight functions

2002 ◽  
Vol 90 (4) ◽  
pp. 641-664 ◽  
Author(s):  
Leyla Daruis ◽  
Pablo González-Vera
Keyword(s):  
Unit Circle ◽  
Weight Functions ◽  
Quadrature Formulas ◽  
Interpolatory Quadrature

scholarly journals Positive rational interpolatory quadrature formulas on the unit circle and the interval

2010 ◽  
Vol 60 (12) ◽  
pp. 1286-1299 ◽  
Author(s):  
Karl Deckers ◽  
Adhemar Bultheel ◽  
Ruymán Cruz-Barroso ◽  
Francisco Perdomo-Pío
Keyword(s):  
Unit Circle ◽  
Quadrature Formulas ◽  
Interpolatory Quadrature

scholarly journals Quadrature formulas associated with rational modifications of the Chebyshev weight functions

2006 ◽  
Vol 51 (3-4) ◽  
pp. 419-430 ◽  
Author(s):  
L. Darius ◽  
P. González-Vera ◽  
M. Jiménez Paiz
Keyword(s):  
Weight Functions ◽  
Quadrature Formulas

Theoretical and practical efficiency measures for symmetric interpolatory quadrature formulas

1994 ◽  
Vol 34 (4) ◽  
pp. 546-557 ◽  
Author(s):  
Paola Favati ◽  
Grazia Lotti ◽  
Francesco Romani
Keyword(s):  
Quadrature Formulas ◽  
Efficiency Measures ◽  
Interpolatory Quadrature

scholarly journals A connection between quadrature formulas on the unit circle and the interval [−1,1]

2001 ◽  
Vol 132 (1) ◽  
pp. 1-14 ◽  
Author(s):  
Adhemar Bultheel ◽  
Leyla Daruis ◽  
Pablo González-Vera
Keyword(s):  
Unit Circle ◽  
Quadrature Formulas

scholarly journals Quadrature formulas on the unit circle based on rational functions

1994 ◽  
Vol 50 (1-3) ◽  
pp. 159-170 ◽  
Author(s):  
Adhemar Bultheel ◽  
Erik Hendriksen ◽  
Pablo González-Vera ◽  
Olav Njåstad
Keyword(s):  
Unit Circle ◽  
Rational Functions ◽  
Quadrature Formulas

scholarly journals QKSpaces on the Unit Circle

2014 ◽  
Vol 2014 ◽  
pp. 1-9
Author(s):  
Jizhen Zhou
Keyword(s):  
Sobolev Space ◽  
Unit Circle ◽  
Measurable Function ◽  
Weight Functions ◽  
Sufficient Condition ◽  
General Criterion ◽  
Necessary And Sufficient Condition ◽  
New Space ◽  
Necessary And Sufficient

We introduce a new spaceQK(∂D)of Lebesgue measurable functions on the unit circle connecting closely with the Sobolev space. We obtain a necessary and sufficient condition onKsuch thatQK(∂D)=BMO(∂D), as well as a general criterion on weight functionsK1andK2,K1≤K2, such thatQK1(∂D)QK2(∂D). We also prove that a measurable function belongs toQK(∂D)if and only if it is Möbius bounded in the Sobolev spaceLK2(∂D). Finally, we obtain a dyadic characterization of functions inQK(∂D)spaces in terms of dyadic arcs on the unit circle.

scholarly journals Sequences of orthogonal Laurent polynomials, bi-orthogonality and quadrature formulas on the unit circle

2007 ◽  
Vol 206 (2) ◽  
pp. 950-966 ◽  
Author(s):  
Ruymán Cruz-Barroso ◽  
Leyla Daruis ◽  
Pablo González-Vera ◽  
Olav NjÅstad
Keyword(s):  
Unit Circle ◽  
Quadrature Formulas ◽  
Laurent Polynomials ◽  
Orthogonal Laurent Polynomials
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