نتایج جستجو برای: bernstein polynomials

تعداد نتایج: 41864  

Journal: :Proceedings of the Edinburgh Mathematical Society 1999

Journal: :Journal of Computational and Applied Mathematics 2007

M. alipour, P. allahgholi

In this paper, we apply spectral method based on the Bernstein polynomials for solving a class of optimal control problems with Jumarie’s modified Riemann-Liouville fractional derivative. In the first step, we introduce the dual basis and operational matrix of product based on the Bernstein basis. Then, we get the Bernstein operational matrix for the Jumarie’s modified Riemann-Liouville fractio...

Journal: :Reliable Computing 2012
Anthony Narkawicz Jürgen Garloff Andrew P. Smith César A. Muñoz

A simple method is presented by which tight bounds on the range of a multivariate rational function over a box can be computed. The approach relies on the expansion of the numerator and denominator polynomials into Bernstein polynomials.

Journal: :Journal of Approximation Theory 2022

We prove explicit and optimal lower upper bounds for even-order moments of Bernstein polynomials.

Journal: :Journal of Approximation Theory 1994

Journal: :Journal of Mathematical Inequalities 2020

Journal: :Mathematical Inequalities & Applications 2014

Journal: :Bulletin of the Australian Mathematical Society 2012

2012
A. Narkawicz J. Garloff A. P. Smith C. A. Muñoz

A simple method is presented by which tight bounds on the range of a multivariate rational function over a box can be computed. The approach relies on the expansion of the numerator and denominator polynomials into Bernstein polynomials.

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