Results 81 to 90 of about 1,343 (179)

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.
openaire   +2 more sources

Enhancing Artificial Neural Network Performance for Wildfire Susceptibility Mapping Using Bernstein‐Levy and Multi‐Population Differential Evolution Algorithms

Transactions in GIS, Volume 30, Issue 4, June 2026.
ABSTRACT Wildfire susceptibility mapping (WSM) is critical for forest management, land‐use planning, and disaster risk mitigation. Although hybrid artificial neural network (ANN) models optimized by metaheuristic algorithms are increasingly used in susceptibility mapping, they are often evaluated without strong machine learning benchmarks, spatially ...
Talha Taşkanat
wiley   +1 more source

Direct Estimate for Bernstein Polynomials

Journal of Approximation Theory, 1994
The following pointwise approximation for the Bernstein polynomials \(B_ n (f,x)= \sum_{k=0}^ n {\binom nk} x^ k (1-x)^{n -k} f(k/n)\) are proved: \[ | B_ n (f,x)- f(x)|\leq C\omega^ 2_{\varphi^ \lambda} (f, n^{-1/2} \varphi (x)^{1- \lambda}), \qquad 0\leq \lambda\leq 1, \quad \varphi(x)^ 2= x(1-x).
openaire   +1 more source

A NOTE ON THE GENERALIZED BERNSTEIN POLYNOMIALS

Honam Mathematical Journal, 2011
Summary: We prove two identities for multivariate Bernstein polynomials on simplices. In this paper, we study good approximations of Bernstein polynomials for every continuous function on simplices and the higher dimensional \(q\)-analogues of Bernstein polynomials on simplices.
Bayad, Abdelmejid, Kim, T., Lee, S.H., Dolgy, D.V.   +3 more
openaire   +3 more sources

Constrained Path Planning for Soft Continuum Robots With Bernstein Surfaces

IEEE Open Journal of Control Systems
This manuscript presents a framework for trajectory generation for soft continuum robots using principles from optimal control. The problem is constrained over the partial differential kinematic equations of the Cosserat rod model, capturing all modes of
Maxwell Hammond, Ean Lovett, Vincenzo Pugliese, Venanzio Cichella, Caterina Lamuta   +4 more
doaj   +1 more source

A note on q-Bernstein polynomials [PDF]

Russian Journal of Mathematical Physics, 2011
In this paper we constructed new q-extension of Bernstein polynomials. Fron those q-Berstein polynomials, we give some interesting properties and we investigate some applications related this q-Bernstein polynomials.
openaire   +3 more sources

Uniform And Pointwise Polynomial Inequalities In Regions With Asymptotically Conformal Curve

MANAS: Journal of Engineering, 2018
In this we continue studying the Nikolskii and Bernstein-Walsh type polynomial estimation in the Lebesgue spaces in the bounded and unbounded regions bounded by asymptotically conformal ...
P. Özkartepe
doaj  

From Lagrange to Bernstein: Generalized Transfinite Elements with Arbitrary Nodes

Mathematics
This paper presents a unified framework for constructing transfinite finite elements with arbitrary node distributions, using either Lagrange or Bernstein polynomial bases. Three distinct classes of elements are considered.
Christopher Provatidis
doaj   +1 more source

A new approach for solving Bratu’s problem

Demonstratio Mathematica, 2019
A numerical technique for one-dimensional Bratu’s problem is displayed in this work. The technique depends on Bernstein polynomial approximation. Numerical examples are exhibited to verify the efficiency and accuracy of the proposed technique.
Ghomanjani Fateme, Shateyi Stanford
doaj   +1 more source

Iterates of Bernstein polynomials [PDF]

Pacific Journal of Mathematics, 1967
Kelisky, R. P., Rivlin, T. J.
openaire   +3 more sources