Bernstein polynomial and Bernstein function

Context: Graduate
Thread starter Tatianaoo
Start date Sep 1, 2013
Tags

Function Polynomial

Join the discussion

Registration is free. Ask a follow-up in this thread, or start your own.

2 replies · 2K views

Tatianaoo

Thread starter
Sep 1, 2013

Hi! Does anybody know if there is something in common between Bernstein functions and Bernstein polynomials except the word 'Bernstein'? I mean from mathematical point of view.

Discussion

Physics news on Phys.org

Quantum spin effects may enhance one-way electrical transport in chiral magnets
Spectroscopy system detects aerosols using light reflected from traffic signs and tree trunks
Cesium atoms and quantum dots generate indistinguishable photons for modular quantum networks

SteamKing

Staff Emeritus

Science Advisor

Homework Helper

Sep 2, 2013

Different things:

http://www.ma.utexas.edu/mediawiki/index.php/Bernstein_function

http://en.wikipedia.org/wiki/Bernstein_polynomial

Tatianaoo

Sep 2, 2013

Thanks!

Bernstein polynomial and Bernstein function

Discussion

Undergrad Why ##a^0=1##?

Undergrad Finding the minimum distance between two curves

High School Arc Length for Hyperbolic Sin

Undergrad Best way to numerically solve this system of equations?

Undergrad Why is ##x=e^y## the inverse of ##y=\int_1^x \frac{1}{t} dt##?

Undergrad Correct Upper/Lower limits for continuation of solutions for ODE

Graduate About ellipticity and a proof that a system of PDEs is elliptic

Graduate Leibniz Rule Videos on Digital-University

Insights Revisiting the Velocity-Time Function

Insights Remote Operated Gate Control System

Insights AI Enriched Problem Solving

Insights Thinking Outside The Box Versus Knowing What’s In The Box

Insights Why Entangled Photon-Polarization Qubits Violate Bell’s Inequality

Insights Quantum Entanglement is a Kinematic Fact, not a Dynamical Effect

Bernstein polynomial and Bernstein function

Discussion

Similar threads

Undergrad Comet Bernardinelli-Bernstein enters inner solar system

Undergrad How Does Gaussian-Legendre Quadrature Approximate Non-Polynomial Functions?

Undergrad Is this business graph an exponential or polynomial function?

Bernstein's Polynomials for f(x)=x and f(x)=x^2: Sequence and Formula

Graduate Sum of Exponentials: Describing F(t) with Bernstein's Theorem

Definition of $S_n$ for Cantor-Schröder-Bernstein Theorem

Area of the bounded regions between a straight line and a polynomial

Graduate Are the following 3 statements true and does the cantor-bernstein theorem follow

Undergrad How Does the Bernstein-Schröder Theorem Establish Set Equivalence?

Finding roots of this particular polynomial