Results 11 to 20 of about 564,269 (235)

Degenerate Bernstein polynomials [PDF]

open access: yesRevista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2018
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Kim, Taekyun, Kim, Dae San
openaire   +3 more sources

A Computational Model for q-Bernstein Quasi-Minimal Bézier Surface

open access: yesJournal of Mathematics, 2022
A computational model is presented to find the q-Bernstein quasi-minimal Bézier surfaces as the extremal of Dirichlet functional, and the Bézier surfaces are used quite frequently in the literature of computer science for computer graphics and the ...
Daud Ahmad   +5 more
doaj   +1 more source

SMIRNOV’S INEQUALITY FOR POLYNOMIALS HAVING ZEROS OUTSIDE THE UNIT DISC

open access: yesПроблемы анализа, 2021
In 1887, the famous chemist D. I. Mendeleev posed the following problem: to estimate |𝑓 ′(𝑥)| for a real polynomial 𝑓 (𝑥), satisfying the condition |𝑓 (𝑥)| ≤ 𝑀 on [𝑎, 𝑏]. This question arose when Mendeleev was studying aqueous solutions.
E. G. Kompaneet, V. V. Starkov
doaj   +1 more source

Direct Algorithm for Bernstein Enclosure Boundary of Polynomials

open access: yesJournal of Mathematics, 2022
Multivariate polynomials of finite degree can be expanded into Bernstein form over a given simplex domain. The minimum and maximum Bernstein control points optimize the polynomial curve over the same domain.
Tareq Hamadneh   +3 more
doaj   +1 more source

Numerical solution of the first order nonlinear differen-tial equations with the mixed nonlinear conditions by using PLSM(comparison with Bernstein polynomials method) [PDF]

open access: yesITM Web of Conferences, 2019
We use the Polynomial Least Squares Method (PLSM), which allows us to compute analytical approximate polynomial solutions for nonlinear ordinary differential equations with the mixed nonlinear conditions.
Lăpădat Marioara   +2 more
doaj   +1 more source

On some inequalities for derivatives of algebraic polynomials in unbounded regions with angles

open access: yesMANAS: Journal of Engineering, 2021
In this work we study Bernstein-Walsh-type estimations for the derivative of an arbitrary algebraic polynomial in regions with interior zero and exterior non zero angles.
Cevahir Doğanay Gün
doaj   +1 more source

Bernstein-Walsh type inequalities for derivatives of algebraic polynomials in quasidisks

open access: yesOpen Mathematics, 2021
In this paper, we study Bernstein-Walsh type estimates for the higher-order derivatives of an arbitrary algebraic polynomial on quasidisks.
Abdullayev Fahreddin G.
doaj   +1 more source

REFINEMENT OF SOME BERNSTEIN TYPE INEQUALITIES FOR RATIONAL FUNCTIONS

open access: yesПроблемы анализа, 2022
In this paper, we establish some Bernstein-type inequalities for rational functions with prescribed poles. These results refine prior inequalities on rational functions and strengthen many well-known polynomial inequalities.
Idrees Qasim
doaj   +1 more source

Bernstein polynomial model for nonparametric multivariate density [PDF]

open access: yesStatistics (Berlin), 2019
In this paper, we study the Bernstein polynomial model for estimating the multivariate distribution functions and densities with bounded support. As a mixture model of multivariate beta distributions, the maximum (approximate) likelihood estimate can be ...
Tao Wang, Zhong Guan
semanticscholar   +1 more source

Bernstein Polynomials

open access: yesMapana 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 ...
openaire   +1 more source

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