最近， q-Bernstein 多项式被很多个作者强烈地调查了。他们为 q ≠ 1， q-Bernstein 多项式许多有趣的性质拥有的结果表演。在这篇论文，集中率为两个 q-Bernstein 多项式重申；他们的布尔和被估计。而且，浸透 { B n (·， q n )}...最近， q-Bernstein 多项式被很多个作者强烈地调查了。他们为 q ≠ 1， q-Bernstein 多项式许多有趣的性质拥有的结果表演。在这篇论文，集中率为两个 q-Bernstein 多项式重申；他们的布尔和被估计。而且，浸透 { B n (·， q n )} 什么时候 n →∞；B n 的集中率(f， q； x ) 什么时候 f ∈ C [n1 ][0,1 ] ， q →∞也被介绍。展开更多
在这份报纸，我们调查 q-Bernstein 多项式 Bn 的加速问题不仅( f ， q ； x )到 B ( f ， q ； x )而且他们的重申的布尔 sum.Using 的集中准确估计的方法和光滑的模量的理论，我们得到集中率的各自的估计，它建议 q-Bernstein 多项式...在这份报纸，我们调查 q-Bernstein 多项式 Bn 的加速问题不仅( f ， q ； x )到 B ( f ， q ； x )而且他们的重申的布尔 sum.Using 的集中准确估计的方法和光滑的模量的理论，我们得到集中率的各自的估计，它建议 q-Bernstein 多项式与古典伯恩斯坦多项式有类似的答案到这二个问题。展开更多
In the present paper, we obtain estimations of convergence rate derivatives of the q-Bernstein polynomials Bn （f, qn ;x） approximating to f＇ （x） as n →∞, which is a general- ization of that relating the classic...In the present paper, we obtain estimations of convergence rate derivatives of the q-Bernstein polynomials Bn （f, qn ;x） approximating to f＇ （x） as n →∞, which is a general- ization of that relating the classical case qn = 1. On the other hand, we study the conver- gence properties of derivatives of the limit q-Bernstein operators B∞（f, q;x） as q→1-.展开更多
In this paper we introduce a generalization of Bernstein polynomials based on q calculus. With the help of Bohman-Korovkin type theorem, we obtain A-statistical approximation properties of these operators. Also, by us...In this paper we introduce a generalization of Bernstein polynomials based on q calculus. With the help of Bohman-Korovkin type theorem, we obtain A-statistical approximation properties of these operators. Also, by using the Modulus of continuity and Lipschitz class, the statistical rate of convergence is established. We also gives the rate of A-statistical convergence by means of Peetre＇s type K-functional. At last, approximation properties of a rth order generalization of these operators is discussed.展开更多
文摘最近， q-Bernstein 多项式被很多个作者强烈地调查了。他们为 q ≠ 1， q-Bernstein 多项式许多有趣的性质拥有的结果表演。在这篇论文，集中率为两个 q-Bernstein 多项式重申；他们的布尔和被估计。而且，浸透 { B n (·， q n )} 什么时候 n →∞；B n 的集中率(f， q； x ) 什么时候 f ∈ C [n1 ][0,1 ] ， q →∞也被介绍。
文摘在这份报纸，我们调查 q-Bernstein 多项式 Bn 的加速问题不仅( f ， q ； x )到 B ( f ， q ； x )而且他们的重申的布尔 sum.Using 的集中准确估计的方法和光滑的模量的理论，我们得到集中率的各自的估计，它建议 q-Bernstein 多项式与古典伯恩斯坦多项式有类似的答案到这二个问题。
文摘In the present paper, we obtain estimations of convergence rate derivatives of the q-Bernstein polynomials Bn （f, qn ;x） approximating to f＇ （x） as n →∞, which is a general- ization of that relating the classical case qn = 1. On the other hand, we study the conver- gence properties of derivatives of the limit q-Bernstein operators B∞（f, q;x） as q→1-.
文摘In this paper we introduce a generalization of Bernstein polynomials based on q calculus. With the help of Bohman-Korovkin type theorem, we obtain A-statistical approximation properties of these operators. Also, by using the Modulus of continuity and Lipschitz class, the statistical rate of convergence is established. We also gives the rate of A-statistical convergence by means of Peetre＇s type K-functional. At last, approximation properties of a rth order generalization of these operators is discussed.
文摘In this paper we establish L^q inequalities for polynomials, which in particular yields interesting generalizations of some Zygmund-type inequalities.
