h-Bernstein basis functions over a triangular domain

2020 ◽  
Vol 79 ◽  
pp. 101849
Author(s):  
P. Lamberti ◽  
M. Lamnii ◽  
S. Remogna ◽  
D. Sbibih
Keyword(s):  
Basis Functions ◽  
Bernstein Basis ◽  
Triangular Domain ◽  
Bernstein Basis Functions

8-node quasi-conforming plane element by using Bernstein basis functions

2018 ◽  
Vol 70 ◽  
pp. 127-140 ◽  
Author(s):  
Changsheng Wang ◽  
Xingtong Lu ◽  
Xiangkui Zhang ◽  
Ping Hu
Keyword(s):  
Basis Functions ◽  
Bernstein Basis ◽  
Plane Element ◽  
Bernstein Basis Functions

scholarly journals Decomposition of mixed pixels in MODIS data using Bernstein basis functions

2019 ◽  
Vol 13 (04) ◽  
pp. 1
Author(s):  
Yi Qin ◽  
Feng Guo ◽  
Yupeng Ren ◽  
Xin Wang ◽  
Juan Gu ◽  
...  
Keyword(s):  
Basis Functions ◽  
Bernstein Basis ◽  
Modis Data ◽  
Mixed Pixels ◽  
Bernstein Basis Functions

scholarly journals On a New Construction of Generalized q-Bernstein Polynomials Based on Shape Parameter λ

Symmetry ◽  
2021 ◽  
Vol 13 (10) ◽  
pp. 1919
Author(s):  
Qing-Bo Cai ◽  
Reşat Aslan
Keyword(s):  
Error Estimation ◽  
Shape Parameter ◽  
Bernstein Polynomials ◽  
Modulus Of Smoothness ◽  
Basis Functions ◽  
Approximation Properties ◽  
Bernstein Basis ◽  
New Class ◽  
New Construction ◽  
Bernstein Basis Functions

This paper deals with several approximation properties for a new class of q-Bernstein polynomials based on new Bernstein basis functions with shape parameter λ on the symmetric interval [−1,1]. Firstly, we computed some moments and central moments. Then, we constructed a Korovkin-type convergence theorem, bounding the error in terms of the ordinary modulus of smoothness, providing estimates for Lipschitz-type functions. Finally, with the aid of Maple software, we present the comparison of the convergence of these newly constructed polynomials to the certain functions with some graphical illustrations and error estimation tables.

Unimodal properties of B-spline and Bernstein-basis functions

1992 ◽  
Vol 24 (12) ◽  
pp. 627-636 ◽  
Author(s):  
P.J. Barry ◽  
J.C. Beatty ◽  
R.N. Goldman
Keyword(s):  
Basis Functions ◽  
Bernstein Basis ◽  
B Spline ◽  
Bernstein Basis Functions
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