Results 101 to 110 of about 601,209 (237)
Area of Bernstein-Type Polynomials [PDF]
Proceedings of the American Mathematical Society, 1974 Bernstein polynomials in one variable are known to be total-variation diminishing when compared to the approximated function f. Here we consider the two variable case and give a counterexample to show they are not area-diminishing. Sufficient conditions are then given on a continuous function f to insure convergence in area. A similar theorem is proved
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Consistency of Bernstein Polynomial Posteriors
Journal of the Royal Statistical Society Series B: Statistical Methodology, 2002 SummaryA Bernstein prior is a probability measure on the space of all the distribution functions on [0, 1]. Under very general assumptions, it selects absolutely continuous distribution functions, whose densities are mixtures of known beta densities. The Bernstein prior is of interest in Bayesian nonparametric inference with continuous data.
PETRONE, SONIA, WASSERMAN L.
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Bernstein-type approximations of smooth functions
Statistica, 2007 The Bernstein-type approximation for smooth functions is proposed and studied. We propose the Bernstein-type approximation with definitions that directly apply the binomial distribution and the multivariate binomial distribution.
Andrea Pallini
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A four dimensional Bernstein Theorem
, 2019 We prove a four dimensional version of the Bernstein Theorem, with complex polynomials being replaced by quaternionic polynomials. We deduce from the theorem a quaternionic Bernstein's inequality and give a formulation of this last result in terms of ...
Perotti, Alessandro
core
Results in EngineeringThis paper introduces a novel mixed finite element method employing Bernstein polynomials to solve the two-dimensional steady Navier-Stokes equations, addressing critical challenges in computational fluid dynamics.
Lanyin Sun, Ziwei Dong
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Bernstein polynomials and Milnor algebras [PDF]
Proceedings of the National Academy of Sciences, 1976 Let f be an analytic germ on C n +1 . Then there is an analytic linear partial differential operator P with polynomial dependence on s , and a polynomial b ( s
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On Bernstein Polynomials Method to the System of Abel Integral Equations
Abstract and Applied Analysis, 2014 This paper deals with a new implementation of the Bernstein polynomials method to the numerical solution of a special kind of singular system. For this aim, first the truncated Bernstein series polynomials of the solution functions are substituted in the
A. Jafarian +3 more
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New Operational Matrices of Seventh Degree Orthonormal Bernstein Polynomials
مجلة بغداد للعلوم, 2015 Based on analyzing the properties of Bernstein polynomials, the extended orthonormal Bernstein polynomials, defined on the interval [0, 1] for n=7 is achieved. Another method for computing operational matrices of derivative and integration D_b and R_(n+1)
Baghdad Science Journal
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Multivariable Hodge theoretical invariants of germs of plane curves
, 2009 We describe methods for calculation of polytopes of quasiadjunction for plane curve singularities which are invariants giving a Hodge theoretical refinement of the zero sets of multivariable Alexander polynomials.
Cassou-Nogues, Pierrette +1 more
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, 2016 In this paper, two numerical methods for solving fractional integro-differential equations are proposed. The fractional derivative is considered in the Caputo sense.
Oyedepo T +3 more
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