Results 31 to 40 of about 43,913 (238)
Mapana Journal of Sciences, 2021 Bernstein polynomials (aka, B-polys) have excellent properties allowing them to be used as basis functions in many applications of physics. In this paper, a brief tutorial description of their properties is given and then their use in obtaining B-polys, B-splines or Basis spline functions, Bezier curves and ODE solution curves, is computationally ...
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Circular Bernstein polynomial distributions [PDF]
, 2010 This paper introduces a new non-parametric approach to the modeling of circular data, based on the use of Bernstein polynomial densities which generalizes the standard Bernstein polynomial model to account for the specific characteristics of circular ...
Ausín Olivera, María Concepción +2 more
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Approximate Solution of Fractional Integro-Differential Equations by Using Bernstein Polynomials [PDF]
Engineering and Technology Journal, 2012 In this paper, Bernstein piecewise polynomial is used to approximate the solution of the fractional integro-differential equations, in which the fractional derivative is described in the (Caputo) sense. Examples are considered to verify the effectiveness
Osama H. Mohammed, Sarmad A. Altaie
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On the F-Bernstein Polynomials
Ukrainian Mathematical JournalzbMATH Open Web Interface contents unavailable due to conflicting licenses.
Erdem, Alper +2 more
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Multi-threshold algorithm about image segmentation based on polynomial uniform approximation
Tongxin xuebao, 2016 Aiming at those shortcomings of previous multi-threshold image segmentation algorithm such as large complexity and instability caused by the image histogram glitch interference,a new multi-threshold image segmentation algorithm was proposed using ...
Yan-jun WEI, Bo-qin FENG, Wei-guo WU
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A short note on a Bernstein-Bezier basis for the pyramid
, 2015 We introduce a Bernstein-Bezier basis for the pyramid, whose restriction to the face reduces to the Bernstein-Bezier basis on the triangle or quadrilateral. The basis satisfies the standard positivity and partition of unity properties common to Bernstein
Chan, Jesse, Warburton, T.
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Convergence of Generalized Bernstein Polynomials
Journal of Approximation Theory, 2002 Let \(f\in C[0,1]\), \(q\in (0,1)\) and \(B_n(f,q;x)\) be generalized Bernstein polynomials based on \(q\)-integers. These polynomials were introduced by G. M. Phillips in 1997. The authors study convergence properties of the sequence \(\{B_n(f,q;x)\}^\infty_{n=1}\).
Alexander Il'inskii, Sofiya Ostrovska
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Correction to: On Bernstein’s inequality for polynomials [PDF]
Analysis and Mathematical Physics, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Queffélec, H., Zarouf, R.
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A Generalization of the Bernstein Polynomials
Journal of Mathematical Analysis and Applications, 1997 The author generalizes the Bernstein polynomials by taking averages of point evaluations of the function \(f\) instead of the usual values \(f(i/n)\). The number of point evaluations \(s_n\) taken for the \(n\)th polynomial, may grow to \(\infty\) as \(n\to\infty\), but it is necessary and sufficient for insuring approximation of continuous functions ...
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Two Photon Processes in an Atom Confined in Gaussian Potential
Atoms, 2016 Transitions of an atom under the effect of a Gaussian potential and loose spherical confinement are studied. An accurate Bernstein-polynomial (B-polynomial) method has been applied for the calculation of the energy levels and radial matrix elements.
Sonia Lumb, Shalini Lumb, Vinod Prasad
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