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On linear combinations of L-orthogonal polynomials associated with distributions belonging to symmetric classes
(Elsevier B.V., 2005-07-01)
This paper deals with the classes S-3(omega, beta, b) of strong distribution functions defined on the interval [beta(2)/b, b], 0 < beta < b <= infinity, where 2 omega epsilon Z. The classification is such that the distribution ...
Asymptotics of orthogonal polynomials generated by a Geronimus perturbation of the Laguerre measure
(Academic Press Inc Elsevier Science, 2016-01)
This paper deals with monic orthogonal polynomials generated by a Geronimus canonical spectral transformation of the Laguerre classical measure, i.e.,. 1x-cxαe-xdx+Nδ(x-c), for x∈. [0, ∞), α. >. -. 1, a free parameter N∈R+ ...
Propiedades analíticas y estructurales de polinomios ortogonales matriciales
(2019-03)
La teoría de polinomios ortogonales matriciales fue introducida por Krein en la década de 1940 y, desde entonces, ha sido estudiada en distintos contextos. Desde un punto de vista analítico, en los últimos años se ha hecho ...
Um estudo sobre Proper Orthogonal Decomposition: fundamentação teórica
(Universidade Federal de São Paulo (UNIFESP), 2020-07-28)
The main objective of this work is to study the mathematical foundations of the Proper Orthogonal Decomposition (POD) method, the essence of which is to provides an orthogonal basis for representing a given set of data in ...
A Characterization of L-orthogonal Polynomials from Three Term Recurrence Relations
(Springer, 2011-01-01)
We consider the sequence of polynomials {Q (n) } satisfying the L-orthogonality a"(3)[z (-n+m) Q (n) (z)]=0, 0a parts per thousand currency signma parts per thousand currency signn-1, with respect to a linear functional ...
Orthogonality of Two Functions with Weighted Inner Products
(Wolfram, 2016)
Orthogonality of Two Functions with Weighted Inner Products
(Wolfram, 2011)
Monotonicity and asymptotics of zeros of Sobolev type orthogonal polynomials: A general case
(Elsevier B.V., 2012-11-01)
We investigate the location, monotonicity, and asymptotics of the zeros of the polynomials orthogonal with respect to the Sobolev type inner product< p, q > (lambda,c.j) = integral(b)(a) p(x)q(x)mu(x) + lambda p((j))(c)q ...
Monotonicity and asymptotics of zeros of Sobolev type orthogonal polynomials: A general case
(Elsevier B.V., 2012-11-01)
We investigate the location, monotonicity, and asymptotics of the zeros of the polynomials orthogonal with respect to the Sobolev type inner product< p, q > (lambda,c.j) = integral(b)(a) p(x)q(x)mu(x) + lambda p((j))(c)q ...