Results 71 to 80 of about 128,675 (227)

APPROXIMATIVE PROPERTIES OF FOURIER-MEIXNER SUMS

Проблемы анализа, 2018
We consider the problem of approximation of discrete functions f = f(x) defined on the set Ω_δ = {0, δ, 2δ, . . .}, where δ =1/N, N > 0, using the Fourier sums in the modified Meixner polynomials M_(α;n,N)(x) = M(α;n)(Nx) (n = 0, 1, . . .), which for α >
Gadzhimirzaev R. M.
doaj   +1 more source

Using $\D$-operators to construct orthogonal polynomials satisfying higher order difference or differential equations [PDF]

, 2013
We introduce the concept of $\D$-operators associated to a sequence of polynomials $(p_n)_n$ and an algebra $\A$ of operators acting in the linear space of polynomials.
Durán, Antonio J.
core  

Uniform Asymptotics for Discrete Orthogonal Polynomials with Respect to Varying Exponential Weights on a Regular Infinite Lattice [PDF]

, 2009
We consider the large N asymptotics of a system of discrete orthogonal polynomials on an infinite regular lattice of mesh N1/N, with weight e −NV (x) , where V (x) is a real analytic function with sufficient growth at infinity.
P. Bleher, Karl Liechty
semanticscholar   +1 more source

Laguerre-Freud equations for Generalized Hahn polynomials of type I

, 2018
We derive a system of difference equations satisfied by the three-term recurrence coefficients of some families of discrete orthogonal ...
Dominici, Diego
core   +1 more source

On the asymptotics of orthogonal polynomials on the curve with a denumerable mass points

Journal of Numerical Analysis and Approximation Theory, 2007
We investigate the asymptotic behavior of orthogonal polynomials with respect to a measure of the type \(\sigma =\alpha +\gamma \), where \(\alpha \) is a measure concentrated on a rectifiable Jordan curve and \(\gamma \) is an infinite discrete measure.
Khaldi Rabah, Aggoune Fateh
doaj   +2 more sources

A high accuracy numerical method based on spectral theory of compact operator for biharmonic eigenvalue equations

Journal of Inequalities and Applications, 2016
In this study, a high accuracy numerical method based on the spectral theory of compact operator for biharmonic eigenvalue equations on a spherical domain is developed.
Zhendong Luo
doaj   +1 more source

Darboux transforms on Band Matrices, Weights and associated Polynomials

, 1999
Classically, it is well known that a single weight on a real interval leads to orthogonal polynomials. In "Generalized orthogonal polynomials, discrete KP and Riemann-Hilbert problems", Comm. Math. Phys. 207, pp.
Adler, Mark, van Moerbeke, Pierre
core   +3 more sources

Efficient algorithms for construction of recurrence relations for the expansion and connection coefficients in series of quantum classical orthogonal polynomials

Journal of Advanced Research, 2010
Formulae expressing explicitly the q-difference derivatives and the moments of the polynomials Pn(x ; q) ∈ T (T ={Pn(x ; q) ∈ Askey–Wilson polynomials: Al-Salam-Carlitz I, Discrete q-Hermite I, Little (Big) q-Laguerre, Little (Big) q-Jacobi, q-Hahn ...
Eid H. Doha, Hany M. Ahmed
doaj   +1 more source

Discrete Entropies of Chebyshev Polynomials

Mathematics
Because of its flexibility and multiple meanings, the concept of information entropy in its continuous or discrete form has proven to be very relevant in numerous scientific branches. For example, it is used as a measure of disorder in thermodynamics, as
Răzvan-Cornel Sfetcu, Sorina-Cezarina Sfetcu, Vasile Preda   +2 more
doaj   +1 more source

On the spectrum of tridiagonal matrices with two-periodic main diagonal

Special Matrices
We find the spectrum and eigenvectors of an arbitrary irreducible complex tridiagonal matrix with two-periodic main diagonal. This is expressed in terms of the spectrum and eigenvectors of the matrix with the same sub- and superdiagonals and zero main ...
Dyachenko Alexander, Tyaglov Mikhail
doaj   +1 more source