机构:
African Inst Math Sci, POB 608, Limbe, Cameroon
Univ Yaounde I, Higher Teacher Training Coll, POB 47, Yaounde, CameroonAfrican Inst Math Sci, POB 608, Limbe, Cameroon
Foupouagnigni, Mama
[1
,2
]
Mouafo Wouodjie, Merlin
论文数: 0引用数: 0
h-index: 0
机构:
Univ Kassel, Inst Math, Heinrich Plett Str 40, D-34132 Kassel, GermanyAfrican Inst Math Sci, POB 608, Limbe, Cameroon
Mouafo Wouodjie, Merlin
[3
]
机构:
[1] African Inst Math Sci, POB 608, Limbe, Cameroon
[2] Univ Yaounde I, Higher Teacher Training Coll, POB 47, Yaounde, Cameroon
Bernstein polynomials;
functions of several variables;
derivatives;
uniform convergence;
order of convergence;
monotonicity;
convexity;
upper and lower bounds;
APPROXIMATION;
COMBINATIONS;
D O I:
10.3390/math8091397
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
In this paper, we first revisit and bring together as a sort of survey, properties of Bernstein polynomials of one variable. Secondly, we extend the results from one variable to several ones, namely-uniform convergence, uniform convergence of the derivatives, order of convergence, monotonicity, fixed sign for thep-th derivative, and deduction of the upper and lower bounds of Bernstein polynomials from those of the corresponding functions.