Results 41 to 50 of about 133,676 (303)
On a two-dimensional analogue of the Lebesgue function for Fourier-Chebyshov sums [PDF]
E3S Web of ConferencesThis article considers the problem of approximating a function of two variables f(x,y) by Fourier sums over Chebyshev polynomials orthogonal on a discrete grid.
Rustanov A.R., Shikhshinatova M.M.
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On Perfectness of Systems of Weights Satisfying Pearson’s Equation with Nonstandard Parameters
Axioms, 2023 Measures generating classical orthogonal polynomials are determined by Pearson’s equation, whose parameters usually provide the positivity of the measures.
Alexander Aptekarev +2 more
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Some discrete d-orthogonal polynomial sets
Journal of Computational and Applied Mathematics, 2003 The concept of \(d\)-orthogonality has been received quite a lot of attention over the last ten years and the authors give a very interesting contribution to the development of the field. Let \(u\) be a linear functional on the space \textbf{P} of all polynomials; its action is written as \(\langle u,f\rangle\) for all \(f\in\mathbf{P}\).
Ben Cheikh, Yousséf, Zaghouani, Ali
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Bivariate Hahn moments for image reconstruction
International Journal of Applied Mathematics and Computer Science, 2014 This paper presents a new set of bivariate discrete orthogonal moments which are based on bivariate Hahn polynomials with non-separable basis. The polynomials are scaled to ensure numerical stability.
Wu Haiyong, Yan Senlin
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On an Inequality for Legendre Polynomials
Mathematics, 2020 This paper is concerned with the orthogonal polynomials. Upper and lower bounds of Legendre polynomials are obtained. Furthermore, entropies associated with discrete probability distributions is a topic considered in this paper.
Florin Sofonea, Ioan Ţincu
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Multi-indexed (q-)Racah Polynomials [PDF]
, 2012 As the second stage of the project multi-indexed orthogonal polynomials, we present, in the framework of `discrete quantum mechanics' with real shifts in one dimension, the multi-indexed (q-)Racah polynomials.
Andrews G E +24 more
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Mathematics, 2021 The extended dynamic mode decomposition algorithm is a tool for accurately approximating the point spectrum of the Koopman operator. This algorithm provides an approximate linear expansion of non-linear discrete-time systems, which can be useful for ...
Camilo Garcia-Tenorio +3 more
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A Survey on q-Polynomials and their Orthogonality Properties [PDF]
, 2010 In this paper we study the orthogonality conditions satisfied by the classical q-orthogonal polynomials that are located at the top of the q-Hahn tableau (big q-jacobi polynomials (bqJ)) and the Nikiforov-Uvarov tableau (Askey-Wilson polynomials (AW ...
Alfaro +21 more
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On the analytic form of the discrete Kramer sampling theorem
International Journal of Mathematics and Mathematical Sciences, 2001 The classical Kramer sampling theorem is, in the subject of self-adjoint boundary value problems, one of the richest sources to obtain sampling expansions. It has become very fruitful in connection with discrete Sturm-Liouville problems.
Antonio G. García +2 more
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Variations of Stieltjes-Wigert and q-Laguerre polynomials and their recurrence coefficients
, 2014 We look at some extensions of the Stieltjes-Wigert weight functions. First we replace the variable x by x^2 in a family of weight functions given by Askey in 1989 and we show that the recurrence coefficients of the corresponding orthogonal polynomials ...
Boelen, Lies, Van Assche, Walter
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