Results 1 to 10 of about 18,284 (117)
Results in Physics, 2019 In this paper, an efficient numerical scheme is settled for solving two-dimensional Bratu–Gelfand problem, namely Hybrid Orthonormal Bernstein and Block-Pulse functions wavelet (HOBW) is presented for boundary value problems administered by nonlinear ...
Mohamed R. Ali, Adel R. Hadhoud
doaj +3 more sources
Mathematics, 2023 The purpose of this article is to give relations among the uniform B-splines, the Bernstein basis functions, and certain families of special numbers and polynomials with the aid of the generating functions method.
Yilmaz Simsek
doaj +1 more source
On Better Approximation of the Squared Bernstein Polynomials [PDF]
مجلة جامعة الانبار للعلوم الصرفة, 2022 The present paper is defined a new better approximation of the squared Bernstein polynomials. This better approximation has been built on a positive function defined on the interval [0,1] which has some properties.
Rafah Katham, Ali Mohammad
doaj +1 more source
Lupaş post quantum Bernstein operators over arbitrary compact intervals
Karpatsʹkì Matematičnì Publìkacìï, 2021 This paper deals with Lupaş post quantum Bernstein operators over arbitrary closed and bounded interval constructed with the help of Lupaş post quantum Bernstein bases.
A. Khan +3 more
doaj +1 more source
Some New Results on Bicomplex Bernstein Polynomials
Mathematics, 2021 The aim of this work is to consider bicomplex Bernstein polynomials attached to analytic functions on a compact C2-disk and to present some approximation properties extending known approximation results for the complex Bernstein polynomials. Furthermore,
Carlo Cattani +3 more
doaj +1 more source
An Enhanced Adaptive Bernstein Collocation Method for Solving Systems of ODEs
Mathematics, 2021 In this paper, we introduce two new methods to solve systems of ordinary differential equations. The first method is constituted of the generalized Bernstein functions, which are obtained by Bernstein polynomials, and operational matrix of ...
Ahmad Sami Bataineh +3 more
doaj +1 more source
On the Bernstein Affine Fractal Interpolation Curved Lines and Surfaces
Axioms, 2020 In this article, firstly, an overview of affine fractal interpolation functions using a suitable iterated function system is presented and, secondly, the construction of Bernstein affine fractal interpolation functions in two and three dimensions is ...
Nallapu Vijender, Vasileios Drakopoulos
doaj +1 more source
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
Modified Operators Interpolating at Endpoints
Mathematics, 2021 Some classical operators (e.g., Bernstein) preserve the affine functions and consequently interpolate at the endpoints. Other classical operators (e.g., Bernstein–Durrmeyer) have been modified in order to preserve the affine functions.
Ana Maria Acu +2 more
doaj +1 more source
A Novel Generalization of Bézier-like Curves and Surfaces with Shape Parameters
Mathematics, 2022 Bézier curves and surfaces with shape parameters have received more attention in the field of engineering and technology in recent years because of their useful geometric properties as compared to classical Bézier curves, as well as traditional Bernstein
Moavia Ameer +3 more
doaj +1 more source