Results 21 to 30 of about 297 (88)
Asymptotic behavior of orthogonal polynomials primitives [PDF]
, 2001 7 pages, no figures.-- MSC2000 codes: 42C05, 33C25.We study the zero location and the asymptotic behavior of the primitives of the standard orthogonal polynomials with respect to a finite positive Borel measure concentrate on [−1,1].Research of second (H.
Urbina, Wilfredo +2 more
core +2 more sources
Special Matrices, 2017 We obtain explicit interrelations between new Dyukarev-Stieltjes matrix parameters and orthogonal matrix polynomials on a finite interval [a, b], as well as the Schur complements of the block Hankel matrices constructed through the moments of the ...
Choque-Rivero A.E.
doaj +1 more source
Asymptotics for orthogonal polynomials off the circle
Journal of Applied Mathematics, Volume 2004, Issue 1, Page 37-53, 2004., 2004 We study the strong asymptotics of orthogonal polynomials with respect to a measure of the type dμ/2π+∑j=1∞Ajδ(z−zk), where μ is a positive measure on the unit circle Γ satisfying the Szegö condition and {zj} j=1∞ are fixed points outside Γ. The masses {Aj} j=1∞ are positive numbers such that ∑j=1∞Aj<+∞.
R. Khaldi, R. Benzine
wiley +1 more source
Strong asymptotics for Lp extremal polynomials off a complex curve
Journal of Applied Mathematics, Volume 2004, Issue 5, Page 371-378, 2004., 2004 We study the asymptotic behavior of Lp(σ) extremal polynomials with respect to a measure of the form σ = α + γ, where α is a measure concentrated on a rectifiable Jordan curve in the complex plane and γ is a discrete measure concentrated on an infinite number of mass points.
Rabah Khaldi
wiley +1 more source
Sobolev orthogonal polynomials in the complex plane [PDF]
, 2001 12 pages, no figures.-- MSC2000 codes: 42C05, 33C45.MR#: MR1808575 (2001j:30006)Zbl#: Zbl 0973.42015Sobolev orthogonal polynomials with respect to measures supported on compact subsets of the complex plane are considered. For a wide class of such Sobolev
López Lagomasino, Guillermo +3 more
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The second‐order self‐associated orthogonal sequences
Journal of Applied Mathematics, Volume 2004, Issue 2, Page 137-167, 2004., 2004 The aim of this work is to describe the orthogonal polynomials sequences which are identical to their second associated sequence. The resulting polynomials are semiclassical of class s ≤ 3. The characteristic elements of the structure relation and of the second‐order differential equation are given explicitly.
P. Maroni, M. Ihsen Tounsi
wiley +1 more source
Strict positive definiteness on spheres via disk polynomials
International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 12, Page 715-724, 2002., 2002 We characterize complex strictly positive definite functions on spheres in two cases, the unit sphere of ℂq, q ≥ 3, and the unit sphere of the complex ℓ2. The results depend upon the Fourier‐like expansion of the functions in terms of disk polynomials and, among other things, they enlarge the classes of strictly positive definite functions on real ...
V. A. Menegatto, A. P. Peron
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 8, Page 449-455, 2001., 2001 We study the asymptotic behavior of orthogonal polynomials. The measure is concentrated on a complex rectifiable arc and has an infinity of masses in the region exterior to the arc.
R. Khaldi, R. Benzine
wiley +1 more source
On convergence and divergence of Fourier expansions with respect to some Gegenbauer-Sobolev type inner product [PDF]
, 2009 11 pages, no figures.-- MSC2000 codes: 42C05, 42C10.In this paper we prove the failure of a.e. convergence of the Fourier expansion in terms of the orthonormal polynomials with respect to the above inner product [see full-text paper].
Marcellán, Francisco +2 more
core +3 more sources
On the existence of complex Hadamard submatrices of the Fourier matrices
Demonstratio Mathematica, 2019 We use a theorem of Lam and Leung to prove that a submatrix of a Fourier matrix cannot be Hadamard for particular cases when the dimension of the submatrix does not divide the dimension of the Fourier matrix.
Bond Bailey Madison +2 more
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