Results 81 to 90 of about 32,343 (193)

A New Approach to -Bernoulli Numbers and -Bernoulli Polynomials Related to -Bernstein Polynomials

open access: yesAdvances in Difference Equations, 2010
We present a new generating function related to the -Bernoulli numbers and -Bernoulli polynomials. We give a new construction of these numbers and polynomials related to the second-kind Stirling numbers and -Bernstein polynomials.
Açikgöz Mehmet   +2 more
doaj  

Bernstein quasianalytic functions on algebraic sets

open access: yes, 2003
According to the classical Bernstein extension theorem for real functions defined on a compact interval \(E\subset\mathbb{R}\) to a holomorphic function in a neighborhood \(U\subset\mathbb{C}\) of \(E\), the following identity principle holds (IP) \(f=0\) on a subinterval of \(E\) implies that \(f\) vanishes on \(E\). For quasianalytic functions in the
openaire   +2 more sources

Symmetric functions and Q-Bernstein polynomials

open access: yes, 2021
In this thesis, the properties of symmetric functions and total positivity of Bernstein basis are investigated. We discuss a special function blossom and see how subdivide a Bezier curve. Also, we give the blossom of Bernstein and q-Bernstein polynomials by using the elementary symmetric polynomials.
openaire   +1 more source

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