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Szego type polynomials and para-orthogonal polynomials
(Academic Press Inc. Elsevier B.V., 2010-10-01)
Szego type polynomials with respect to a linear functional M for which the moments M[t(n)] = mu(-n) are all complex, mu(-n) = mu(n) and D(n) not equal 0 for n >= 0. are considered. Here, D(n) are the associated Toeplitz ...
Szego type polynomials and para-orthogonal polynomials
(Academic Press Inc. Elsevier B.V., 2010-10-01)
Szego type polynomials with respect to a linear functional M for which the moments M[t(n)] = mu(-n) are all complex, mu(-n) = mu(n) and D(n) not equal 0 for n >= 0. are considered. Here, D(n) are the associated Toeplitz ...
Monotonicity of zeros of Laguerre-Sobolev-type orthogonal polynomials
(Academic Press Inc. Elsevier B.V., 2010-08-01)
Denote by x(n,k)(M,N)(alpha), k = 1, ..., n, the zeros of the Laguerre-Sobolev-type polynomials L(n)((alpha, M, N))(x) orthogonal with respect to the inner product< p, q > = 1/Gamma(alpha + 1) integral(infinity)(0)p(x)q( ...
Monotonicity of zeros of Laguerre-Sobolev-type orthogonal polynomials
(Academic Press Inc. Elsevier B.V., 2010-08-01)
Denote by x(n,k)(M,N)(alpha), k = 1, ..., n, the zeros of the Laguerre-Sobolev-type polynomials L(n)((alpha, M, N))(x) orthogonal with respect to the inner product< p, q > = 1/Gamma(alpha + 1) integral(infinity)(0)p(x)q( ...
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+ ...
On perturbed Szego recurrences
(Elsevier B.V., 2014-03-15)
The purpose of the present contribution is to investigate the effects of finite modifications of Verblunsky coefficients on Szego recurrences. More precisely, we study the structural relations and the corresponding C-functions ...
Monotonicity of zeros of Laguerre-Sobolev-type orthogonal polynomials
(Academic Press Inc. Elsevier B.V., 2014)
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 ...
Monotonicity of zeros of Jacobi-Sobolev type orthogonal polynomials
(Elsevier B.V., 2010-03-01)
Consider the inner product< p, q > = Gamma(alpha + beta + 2)/2(alpha+beta+1) Gamma (alpha + 1)Gamma(beta +1) integral(t)(-t) p(x)q(x)(alpha) (1 + x)(beta) dx+ Mp(1)q(1)+ Np'(1)q'(1) + 1 (M) over tildep(-1)q(-1)+ (N) over ...
Monotonicity of zeros of Jacobi-Sobolev type orthogonal polynomials
(Elsevier B.V., 2010-03-01)
Consider the inner product< p, q > = Gamma(alpha + beta + 2)/2(alpha+beta+1) Gamma (alpha + 1)Gamma(beta +1) integral(t)(-t) p(x)q(x)(alpha) (1 + x)(beta) dx+ Mp(1)q(1)+ Np'(1)q'(1) + 1 (M) over tildep(-1)q(-1)+ (N) over ...