Results 41 to 50 of about 194,210 (329)
Approximation by homogeneous polynomials [PDF]
Journal of Approximation Theory, 2013 Uniform approximations by even degree homogeneous polynomials are considered. For a centrally symmetric convex set with nonempty interior, all even continuous functions on its boundary (in two space dimensions; the problem is open for higher dimensions) can be uniformly approximated by them. This is a new, more elementary proof of this fact.
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On the Approximation of the Jacobi Polynomials
Rocky Mountain Journal of Mathematics, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Elias, Uri, Gingold, Harry
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Approximation with harmonic and generalized harmonic polynomials in the partition of unity method
Computer Assisted Methods in Engineering and Science, 2023 The aim of the paper is twofold. In the first part, we present an analysis of the approximation properties of "complete systems" , that is, systems of functions which satisfy a given differential equation and are dense in the set of all solutions.
J. M. Melenk, I. Babuška
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Algorithms For Positive Polynomial Approximation [PDF]
SIAM Journal on Numerical Analysis, 2019 Summary: We propose several algorithms for positive polynomial approximation. The main tool is a novel iterative method to compute nonnegative interpolation polynomials at any order, which is shown to converge under conditions that make it suitable for the numerical approximation of positive functions. Our method is based on the special representations
Charles, Frédérique +2 more
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A Polynomial Quantum Algorithm for Approximating the Jones Polynomial [PDF]
Algorithmica, 2006 The Jones polynomial, discovered in 1984, is an important knot invariant in topology. Among its many connections to various mathematical and physical areas, it is known (due to Witten) to be intimately connected to Topological Quantum Field Theory (TQFT).
Dorit Aharonov +2 more
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Approximating Polynomials for Functions of Weighted Smirnov-Orlicz Spaces
Journal of Function Spaces and Applications, 2012 Let 𝐺0 and 𝐺∞ be, respectively, bounded and unbounded components of a plane curve Γ satisfying Dini's smoothness condition. In addition to partial sum of Faber series of 𝑓 belonging to weighted Smirnov-Orlicz space 𝐸𝑀,𝜔 (𝐺0), we prove that interpolating ...
Ramazan Akgün
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Communications, 2010 In applications of mathematics involving either the Laplace or the Helmholtz equation in spherical coordinates the associated Legendre equation occurs. Its solutions are called associated Legendre functions. They have some relations to classical Legendre
Vladimir Guldan, Mariana Marcokova
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The uniform approximation of polynomials by polynomials of lower degree [PDF]
, 1974 approximation, in a given interval,of a polynomial of degree in by a polynomial of degree n < m has been solved analytically in only two cases: (i) by Chebyshev, when m = n + 1, (ii) by Zolotarev, when m = n + 2.
Talbot, A
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Long‐Term Follow‐Up of Chemotherapy‐Associated Biological Aging in Women With Early Breast Cancer
Aging and Cancer, EarlyView.Women threated with adjuvant chemotherapy for early breast cancer have sustained long‐term increase in p16INK4a,, a robust marker of cell senescence, suggesting a chemotherapy‐associated age acceleration. p16INK4a as well as other biomarkers may identify patients at greatest risk for senescence‐related diseases of aging.
Hyman B. Muss +12 more
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Cognitive decline is a disabling and variable feature of Parkinson disease (PD). While cholinergic system degeneration is linked to cognitive impairments in PD, most prior research reported cross‐sectional associations. We aimed to fill this gap by investigating whether baseline regional cerebral vesicular acetylcholine transporter ...
Taylor Brown +6 more
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