On Orthogonal Polynomials of Sobolev Type: Algebraic Properties and Zeros

1992 ◽  
Vol 23 (3) ◽  
pp. 737-757 ◽  
Author(s):  
M. Alfaro ◽  
F. Marcellán ◽  
M. L. Rezola ◽  
A. Ronveaux
Keyword(s):  
Orthogonal Polynomials ◽  
Sobolev Type ◽  
Algebraic Properties

scholarly journals Robust Stability of Hurwitz Polynomials Associated with Modified Classical Weights

Mathematics ◽  
2019 ◽  
Vol 7 (9) ◽  
pp. 818 ◽  
Author(s):  
Alejandro Arceo ◽  
Luis E. Garza ◽  
Gerardo Romero
Keyword(s):  
Orthogonal Polynomials ◽  
Robust Stability ◽  
Equations Of Motion ◽  
Hurwitz Polynomials ◽  
Algebraic Properties

In this contribution, we consider sequences of orthogonal polynomials associated with a perturbation of some classical weights consisting of the introduction of a parameter t, and deduce some algebraic properties related to their zeros, such as their equations of motion with respect to t. These sequences are later used to explicitly construct families of polynomials that are stable for all values of t, i.e., robust stability on these families is guaranteed. Some illustrative examples are presented.

scholarly journals The Laguerre–Sobolev-type orthogonal polynomials

2010 ◽  
Vol 162 (2) ◽  
pp. 421-440 ◽  
Author(s):  
Herbert Dueñas ◽  
Francisco Marcellán
Keyword(s):  
Orthogonal Polynomials ◽  
Sobolev Type

scholarly journals Estimates for jacobi—sobolev type orthogonal polynomials

1997 ◽  
Vol 67 (1-2) ◽  
pp. 157-174 ◽  
Author(s):  
M. Alfaro ◽  
F. Marcellán ◽  
M.L. Rezola
Keyword(s):  
Orthogonal Polynomials ◽  
Sobolev Type

Monotonicity of zeros of Jacobi–Sobolev type orthogonal polynomials

2010 ◽  
Vol 60 (3) ◽  
pp. 263-276 ◽  
Author(s):  
Dimitar K. Dimitrov ◽  
Mirela V. Mello ◽  
Fernando R. Rafaeli
Keyword(s):  
Orthogonal Polynomials ◽  
Sobolev Type

Monotonicity and asymptotics of zeros of Sobolev type orthogonal polynomials: A general case

2012 ◽  
Vol 62 (11) ◽  
pp. 1663-1671 ◽  
Author(s):  
Kenier Castillo ◽  
Mirela V. Mello ◽  
Fernando R. Rafaeli
Keyword(s):  
Orthogonal Polynomials ◽  
Sobolev Type
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