Consistency of Bernstein polynomial posteriors
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.
Sonia Petrone, L. Wasserman
semanticscholar +3 more sources
Two Photon Processes in an Atom Confined in Gaussian Potential
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
doaj +1 more source
A short note on a Bernstein-Bezier basis for the pyramid
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.
core +1 more source
Growth of Omnichannel Grocery Retailing and Food Prices
ABSTRACT This paper examines the effects of the growth of omnichannel grocery retailing on food prices. We first develop a conceptual model of consumer choice and retailer pricing that allows us to evaluate changes in equilibrium prices, quantities, and profits with online channel growth and alternative pricing strategies.
Xiangwen Kong +2 more
wiley +1 more source
Weighted inequalities for generalized polynomials with doubling weights
Many weighted polynomial inequalities, such as the Bernstein, Marcinkiewicz, Schur, Remez, Nikolskii inequalities, with doubling weights were proved by Mastroianni and Totik for the case 1 ≤ p < ∞ $1 \leq p < \infty$ , and by Tamás Erdélyi for 0 < p ≤ 1 $
Haewon Joung
doaj +1 more source
Efficient Dynamics: Reduced‐Order Modeling of the Time‐Dependent Schrödinger Equation
Reduced‐order modeling (ROM) approaches for the time‐dependent Schrödinger equation are investigated, highlighting their ability to simulate quantum dynamics efficiently. Proper Orthogonal Decomposition, Dynamic Mode Decomposition, and Reduced Basis Methods are compared across canonical systems and extended to higher dimensions.
Kolade M. Owolabi
wiley +1 more source
Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons
Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
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Multivariate Bernstein inequalities for entire functions of exponential type in Lp(Rn) $L^{p}(\mathbb{R}^{n})$ (0 Journal of Inequalities and Applications, 2019
In (Rahman and Schmeisser in Trans. Amer. Math. Soc.
Ha Huy Bang, Vu Nhat Huy, Kyung Soo Rim
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Bernstein Polynomials Method For Solving Linear Volterra Integral Equation of The Second Kind [PDF]
In this paper, Bernstein polynomials method are used to find anapproximate solution for linear Volterra integral equation of the second kind.These polynomials are incredibly useful mathematical tools, because they aresimply defined.
Haleema S. Ali
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Approximation of Discontinuous Functions by Positive Linear Operators. A Probabilistic Approach
ABSTRACT We obtain approximation results for general positive linear operators satisfying mild conditions, when acting on discontinuous functions and absolutely continuous functions having discontinuous derivatives. The upper bounds, given in terms of a local first modulus of continuity, are best possible, in the sense that we can construct particular ...
J.A. Adell +2 more
wiley +1 more source

