Results 71 to 80 of about 911 (185)
Deficient Bernstein polynomials
Journal of Approximation Theory, 1989 In the first part of the paper the author gives another proof of the following theorem, established by \textit{D. Freedman} and \textit{E. Passow} [J. Approximation Theory 39, 89-92 (1983; Zbl 0534.41005)]. Let f be a piecewise linear function having (possible) changes of slope only at the points i/m, \(i=1,2,...m-1\).
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Normalized Bernstein polynomials in solving space-time fractional diffusion equation
Advances in Difference Equations, 2017 In this paper, we solve a time-space fractional diffusion equation. Our methods are based on normalized Bernstein polynomials. For the space domain, we use a set of normalized Bernstein polynomials and for the time domain, which is a semi-infinite domain,
A Baseri, E Babolian, S Abbasbandy
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Smooth ROC curve estimation via Bernstein polynomials. [PDF]
PLoS One, 2021 Wang D, Cai X.
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A de Casteljau Algorithm for 𝑞-Bernstein-Stancu Polynomials
Abstract and Applied Analysis, 2011 This paper is concerned with a generalization of the 𝑞-Bernstein polynomials and Stancu operators, where the function is evaluated at intervals which are in geometric progression.
Grzegorz Nowak
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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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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-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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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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