Results 41 to 50 of about 601,209 (237)
Linear Optimization of Polynomial Rational Functions: Applications for Positivity Analysis
Mathematics, 2020 In this paper, we provide tight linear lower bounding functions for multivariate polynomials given over boxes. These functions are obtained by the expansion of polynomials into Bernstein basis and using the linear least squares function.
Tareq Hamadneh +2 more
doaj +1 more source
Solving Nonlinear Multi-Order Fractional Differential Equations Using Bernstein Polynomials
IEEE Access, 2023 This paper introduces two novel methods for solving multi-order fractional differential equations using Bernstein polynomials. The first method, referred to as the fractional operational matrix of differentiation of Bernstein polynomials, is employed to ...
Shahad Adil Taher Algazaa +1 more
doaj +1 more source
Properties and examples of Faber--Walsh polynomials [PDF]
, 2016 The Faber--Walsh polynomials are a direct generalization of the (classical) Faber polynomials from simply connected sets to sets with several simply connected components.
Liesen, Jörg, Sète, Olivier
core +1 more source
Journal of King Saud University - Science, 2019 In this paper, we adapt for the first time the operational matrices of Bernstein polynomials method for solving directly a class of third-order ordinary differential equations (ODEs). This method gives a numerical solution by converting the equation into
Sana’a Nazmi Khataybeh +2 more
semanticscholar +1 more source
The Trigonometric Polynomial Like Bernstein Polynomial [PDF]
The Scientific World Journal, 2014 A symmetric basis of trigonometric polynomial space is presented. Based on the basis, symmetric trigonometric polynomial approximants like Bernstein polynomials are constructed. Two kinds of nodes are given to show that the trigonometric polynomial sequence is uniformly convergent.
openaire +3 more sources
On Bernstein’s inequality for polynomials [PDF]
Analysis and Mathematical Physics, 2019 Bernstein's classical inequality asserts that given a trigonometric polynomial $T$ of degree $n\geq1$, the sup-norm of the derivative of $T$ does not exceed $n$ times the sup-norm of $T$. We present various approaches to prove this inequality and some of its natural extensions/variants, especially when it comes to replacing the sup-norm with the $L^p ...
Queffélec, Hervé, Zarouf, Rachid
openaire +4 more sources
A note on q-Bernstein polynomials
, 2010 In this paper we constructed new q-extension of Bernstein polynomials. Fron those q-Berstein polynomials, we give some interesting properties and we investigate some applications related this q-Bernstein polynomials.Comment: 13 ...
B. A. Kupershmidt +17 more
core +1 more source
Probabilistic degenerate Bernstein polynomials
Applied Mathematics in Science and EngineeringIn recent years, both degenerate versions and probabilistic extensions of many special numbers and polynomials have been explored. For instance, degenerate Bernstein polynomials and probabilistic Bernstein polynomials were investigated earlier.
Jinyu Wang +3 more
doaj +1 more source
Bernstein operator of rough I-core of triple sequences
ITM Web of Conferences, 2018 We introduce and study some basic properties of Bernstein-Stancu polynomials of rough I-convergent of triple sequence spaces and also study the set of all Bernstein-Stancu polynomials of rough I-limits of a triple sequence spaces and relation between ...
Ozdemir M. Kemal, Esi Ayhan, Esi Ayten
doaj +1 more source
Characterization of the generalized Chebyshev-type polynomials of first kind
, 2015 Orthogonal polynomials have very useful properties in the solution of mathematical problems, so recent years have seen a great deal in the field of approximation theory using orthogonal polynomials.
AlQudah, Mohammad A.
core +2 more sources