Results 31 to 40 of about 31,688 (173)
Orthonormal Systems in Linear Spans
, 2012 We show that any $N$-dimensional linear subspace of $L^2(\mathbb{T})$ admits an orthonormal system such that the $L^2$ norm of the square variation operator $V^2$ is as small as possible. When applied to the span of the trigonometric system, we obtain an
Chevet, Garsia, Marcus, Milman
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q-Ultraspherical polynomials for q a root of unity
, 1996 Properties of the $q$-ultraspherical polynomials for $q$ being a primitive root of unity are derived using a formalism of the $so_q(3)$ algebra.
A. F. Nikiforov +13 more
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Mathematics, 2020 We study an energy-dependent potential related to the Rosen–Morse potential. We give in closed-form the expression of a system of eigenfunctions of the Schrödinger operator in terms of a class of functions associated to a family of hypergeometric para ...
Jorge A. Borrego-Morell +2 more
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AIP Advances, 2018 Chaotic systems are integrated via numerical methods but the main challenge is determining the correct time-step. For instance, traditional numerical methods like Forward Euler (FE) and 4th-order Runge-Kutta (RK), have been applied to simulate and to ...
A. D. Pano-Azucena +3 more
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, 2005 The equilibrium positions of the multi-particle classical Calogero-Sutherland-Moser (CSM) systems with rational/trigonometric potentials associated with the classical root systems are described by the classical orthogonal polynomials; the Hermite ...
Odake, S., Sasaki, R.
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Algorithms for trigonometric polynomials [PDF]
Proceedings of the 2001 international symposium on Symbolic and algebraic computation, 2001 In this paper we present algorithms for simplifying ratios of trigonometric polynomials and algorithms for dividing, factoring and computing greatest common divisors of trigonometric polynomials, that is, polynomials in sin(x) and cos(x).
Jamie Mulholland, Michael Monagan
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Discrete limit theorems for trigonometric polynomials
Lietuvos Matematikos Rinkinys, 1999 There is not abstract.
Roma Kačinskaitė
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MathematicsThis study presents a novel fifth-order unequal-sized trigonometric weighted essentially non-oscillatory (US-TWENO) scheme and a novel hybrid US-TWENO (HUS-TWENO) scheme with a novel troubled cell indicator in a finite difference framework to address ...
Yanmeng Wang, Liang Li, Jun Zhu
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Karpatsʹkì Matematičnì Publìkacìï, 2023 Exact order estimates for some characteristics of linear and nonlinear approximation of the isotropic Nikol'skii-Besov classes $\mathbf{B}^r_{p,\theta}$ of periodic multivariate functions in the spaces $B_{q,1}$, $1\leq q \leq \infty$, are obtained ...
A.S. Romanyuk +3 more
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Shape Invariant Rational Extensions And Potentials Related to Exceptional Polynomials
, 2015 In this paper, we show that an attempt to construct shape invariant extensions of a known shape invariant potential leads to, apart from a shift by a constant, the well known technique of isospectral shift deformation.
Kapoor, A. K +2 more
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