Results 181 to 190 of about 601,209 (237)

P-Bernstein polynomials

Filomat
In this current study, we introduce a new operator called the P-Bernstein operator derived through the utilization of ?P-factorial? (Pell factorial) and ?Pellnomial? (Pell binomial).
Alper Erdem
semanticscholar   +3 more sources

Generalized Bernstein polynomials

Indian Journal of Pure and Applied Mathematics
P. N. Agrawal, Neha Bhardwaj, Ruchi Chauhan   +2 more
semanticscholar   +2 more sources

Some of the next articles are maybe not open access.

Related searches:

Generalized Bernstein Polynomials

BIT Numerical Mathematics, 2004
The authors define generalized Bernstein polynomials of degree \(n\), for \(n \in \mathbb{N}\) and \(i \in \{0,1,\dots,n\}\), by \[ B_i^n(x;\omega| q):= \frac{1}{(\omega;q)_n} \begin{bmatrix} n \\i \end{bmatrix}_q x^i(\omega x^{-1};q)_i(x;q)_{n-i}. \] Here \(q\) and \(\omega\) are real parameters such that \(q \neq 1\) and \(\omega \neq 1,q^{-1},\dots ...
Stanisław Lewanowicz, Paweł Woźny
exaly   +3 more sources

Random Bernstein Polynomials

Scandinavian Journal of Statistics, 1999
Random Bernstein polynomials which are also probability distribution functions on the closed unit interval are studied. The probability law of a Bernstein polynomial so defined provides a novel prior on the space of distribution functions on [0, 1] which has full support and can easily select absolutely continuous distribution functions with a ...
Sonia Petrone
exaly   +4 more sources

Robust adaptive control of robot manipulators using Bernstein polynomials as universal approximator

International Journal of Robust and Nonlinear Control, 2020
This article presents a robust adaptive controller for electrically driven robots using Bernstein polynomials as universal approximator. The lumped uncertainties including unmodeled dynamics, external disturbances, and nonimplemented control signals ...
A. Izadbakhsh, S. Khorashadizadeh
semanticscholar   +1 more source

Numerical solution based on two-dimensional orthonormal Bernstein polynomials for solving some classes of two-dimensional nonlinear integral equations of fractional order

Applied Mathematics and Computation, 2019
In this paper, we develop a numerical scheme based on two-dimensional orthonormal Bernstein polynomials (2D-OBPs) to solve two-dimensional nonlinear integral equations of fractional order.
Farshid Mirzaee, Nasrin Samadyar
semanticscholar   +1 more source

On Generalized Bernstein Polynomials

SIAM Journal on Mathematical Analysis, 1974
The generalized Bernstein polynomials of Jakimovski and Leviatan and the generalized Euler summability method of Wood are considered in the general context of Gronwall-like transformations. It is shown under general circumstances that, for bounded sequences, generalized Euler summability is equivalent to Euler summability.
Bustoz, J., Groetsch, C. W.
openaire   +1 more source

Fractional‐order orthogonal Bernstein polynomials for numerical solution of nonlinear fractional partial Volterra integro‐differential equations

Mathematical methods in the applied sciences, 2019
In this paper, a new two‐dimensional fractional polynomials based on the orthonormal Bernstein polynomials has been introduced to provide an approximate solution of nonlinear fractional partial Volterra integro‐differential equations.
Farshid Mirzaee, S. Alipour
semanticscholar   +1 more source

Convergence of Generalized Bernstein Polynomials

Journal of Approximation Theory, 2002
Let \(f\in C[0,1]\), \(q\in (0,1)\) and \(B_n(f,q;x)\) be generalized Bernstein polynomials based on \(q\)-integers. These polynomials were introduced by G. M. Phillips in 1997. The authors study convergence properties of the sequence \(\{B_n(f,q;x)\}^\infty_{n=1}\).
Il'inskii, Alexander, Ostrovska, Sofiya
exaly   +3 more sources

Solving multipoint problems with linear Volterra–Fredholm integro-differential equations of the neutral type using Bernstein polynomials method

Applied Numerical Mathematics, 2019
In this paper, the Bernstein polynomials method is proposed for the numerical solution of a class of multipoint problems with linear Volterra–Fredholm integro-differential equations of the neutral type.
E. Hesameddini, M. Shahbazi
semanticscholar   +1 more source