In this paper,a new definition of Bernstein Polynomial in convergence region is proposed,and a concise method is used to demonstrate the result of approximate degree of Bernstein Polynomial function.
在伯恩斯坦多项式的基础上,定义了伯恩斯坦多项式在收敛区间上的一种新的形式,并采用估值逼近的方法,给出了一个较为简明的对函数的逼近度的结果。
Then,applying the generalized Bernstein polynomial,the approximation theorem is established,that is,there exists a sequence of αpolynomial{Pn(x,a)}for a continue function f(x) in a closed interval, the sequence{Pn(x,a)}converges the function f(x) uniformly in the interval.
提出用α-多项式进行函数逼近的问题,首先给出广义的伯恩斯坦多项式,利用它证明了α-多项式逼近定理,即:对于闭区间[a,b]上的连续函数f(x),存在α-多项式序列{pn(x,α)},使{pn(x,α)}在[a,b]上一致收敛于f(x)。
From "Culture Reproduction" to "Power Reproduction",Code Logic in Educational Practice——Education Inequality in the Frame of Bernstein s Code Theory;
从“权力再制”到“文化再制”:教育实践中的符码逻辑——伯恩斯坦符码理论框架下的教育不平等问题
Fusion and Internalization: On Bernstein and Bourdieu’s Theoretical Contribution to the Development of CDA;
融合与内化——兼评伯恩斯坦、布迪厄对批判话语分析的理论贡献
Development of Integrated Courses and Bernstein s Coding Theory;
综合课程建设与伯恩斯坦的编码理论
Lipschitz continuous functions and its Bernstein polynomials
李卜希兹连续函数与其伯恩斯坦多项式
Derivative Properties of Bernstein Polynomials for Discontinuous Functions with Two Variables
二元不连续函数的伯恩斯坦多项式的微分性质
A Generalization of Bernstein Polynomial to an Infinite Interval
关于伯恩斯坦多项式在无穷区间上的一种普遍推广
Theresa Bernstein continued to paint for more than eighty years.
特丽萨?伯恩斯坦经历了长达80多年的绘画生涯。
Charles Bernstein: Against the Idea of Poetry
查尔斯·伯恩斯坦:挑战诗的理念(英文)
Interview with Charles Bernstein
查尔斯·伯恩斯坦教授访谈录(英文)
Dr Bernstein admits, though, that many film depictions of psychiatry and mental disorders are “terrible”.
不过，伯恩斯坦承认，许多影片对精神病学和精神失常的描述“很骇人”。
Bernstein's best-known work is West Side Story.
伯恩斯坦最著名的作品是《西边的故事》。
Theresa Bernstein was an artist.
特丽萨?伯恩斯坦是一位艺术家。
This dramatic career launching was typical of Bernstein.
伯恩斯坦戏剧性的生涯是很典型的。
Bernstein later directed students at the music center.
后来伯恩斯坦在音乐中心指导学生。
Thank goodness, then, for Peter L. Bernstein.
感谢上帝,因为有了彼得-伯恩斯坦.
Development of Integrated Courses and Bernstein s Coding Theory;
综合课程建设与伯恩斯坦的编码理论
This so enraged one student that he threatened homicide.
有个学生为此怒不可遏，扬言要杀死伯恩斯坦。
Bernstein transferred everything he was feeling to the audience.
伯恩斯坦把他感觉到的一切传递给听众。
INVESTIGATION OF HIGH CYCLOTRON HARMONICS IN BERNSTEIN MODE GYROKLYSTRON
伯恩斯坦模回旋速调管高次回旋波的研究
Theory of Pedagogic Practice:Bernstein s Structuralist Approach;
教学实践理论:伯恩斯坦的结构主义方法
Like Leonard Bernstein, England's Benjamin Britten has helped many young people to understand music better.
像里纳德·伯恩斯坦一样，英格兰的本杰明·布里顿也帮助许多青年人更好地理解音乐作品。