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A note on characterization of Hardy space H^1

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Science china mathematics 2005年第4期48卷 448-455页

作者： WANG Silei department of mathematics, zhejiang university, hangzhou 310028, china department of mathematics Zhejiang University Hangzhou China

An all-round answer is given to the following question: 'Find a necessary and sufficient size condition for an integrable compactly supported function on Rn with mean value zero to be in the Hardy space H1.' Stefanov ... 详细信息

关键词： Hardy space Riesz transform Hilbert transform

THE CONVERGENCE OF DURAND-KERNER METHOD FOR SIMULTANEOUSLY FINDING ALL ZEROS OF THE POLYNOMIAL

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Journal of Computational mathematics 2000年第6期18卷 567-570页

作者： Dan-fu Han (department of mathematics, zhejiang university, hangzhou 310028, china) 浙江大学浙江杭州 310028

In this paper we propose the two kinds of different criterions and use them to judge the convergence of Durand-Kerner method and to compare the obtained results with other methods. [ABSTRACT FROM AUTHOR]

关键词： Durand-Kerner method convergence two kinds of criterions

APPLICATION OF NEWTON'S AND CHEBYSHEV'S METHODS TO PARALLEL FACTORJZATION OF POLYNOMIALS

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Journal of Computational mathematics 2001年第4期19卷 347-356页

作者： Shi-ming Zheng (department of mathematics, Xixi Campus, zhejiang university, hangzhou 310028, china) 浙江大学浙江杭州 310028

In this paper it is shown m two different ways that one of the family of parallel iterations to determine all real quadratic factors of polynomials presented in [12] is Newton's method applied to the special equation (1.7) below. Furthermore, we apply Chebyshev's method to (1.7) and obtain a new parallel iteration for factorization of polynomials. Finally, some properties of the parallel iterations are discussed.

关键词： Newton's method Chebyshev's method Parallel iteration Factorization of polynomial.

A FAMILY OF HIGH-ODER PARALLEL ROOTFINDERS FOR POLYNOMIALS

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Journal of Computational mathematics 2000年第3期18卷 283-288页

作者： Shi-ming Zheng (department of mathematics, Xixi Campus,zhejiang university, hangzhou, 310028, china) 浙江大学浙江杭州 310028

Presents a family of parallel iterations for finding all zeros of a polynomial without evaluation of derivatives. Construction of iterations; Convergence of the iterations; Details on the numerical examples.

关键词： parallel iteration zeros of polynomial order of convergence

Functional limit theorem for moving average processes generated by dependent random variables

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Progress in Natural Science:Materials International 2006年第3期16卷 266-273页

作者： LIN Zhengyan and LI Degui (department of mathematics, zhejiang university, hangzhou 310028, china) department of mathematics Zhejiang University Hangzhou 310028 China

Let {Xt,t≥1} be a moving average process defined by , where {bj,j≥0} is a sequence of real num- bers and {ξt,-∞ 详细信息

Let {Xt,t≥1} be a moving average process defined by , where {bj,j≥0} is a sequence of real num- bers and {ξt,-∞

关键词： functional limit theorem long memory process linear process moving average process φ-mixing.

The best quadrature based on given Hermite information for the Sobolev class KW^r[a,b]

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Science china mathematics 2006年第8期49卷 1146-1152页

作者： WANG Xinghua & YANG Shijun department of mathematics, zhejiang university, hangzhou 310028, china department of mathematics, hangzhou Normal College, hangzhou 310036, china department of mathematics Zhejiang University Hangzhou China department of mathematics Hangzhou Normal College Hangzhou China

As usual, denote by KWr[a,b] the Sobolev class consisting of every function whose (r-1)th derivative is absolutely continuous on the interval [a,b] and rth derivative is bounded by K a.e. In [a,b]. For a function f ∈ KWr[a,b], its values and derivatives up to r-1 order at a set of nodes x are known. These values are said to be the given Hermite *** work reports the results on the best quadrature based on the given Hermite information for the class KWr[a,b]. Existence and concrete construction issue of the best quadrature are settled down by a perfect spline interpolation. It turns out that the best quadrature depends on a system of algebraic equations satisfied by a set of free nodes of the interpolation perfect spline. From our another new result, it is shown that the system can be converted in a closed form to two single-variable polynomial equations, each being of degree approximately r/2. As a by-product,the best interpolation formula for the class KWr[a,b] is also obtained.

关键词： Sobolev class, Hermite information, perfect spline, optimal recovery, best quadrature.

ON THE CONVERGENCE OF KING-WERNER ITERATIONMETHOD IN BANACH SPACEON THE CONVERGENCE OF KING-WERNER ITERATIONMETHOD IN BANACH SPACE

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Journal of Computational mathematics 2000年第5期18卷 457-466页

作者： Zheng-da Huang (department of mathematics, XiXi Campus, zhejiang university, hangzhou 310028, china) department of mathematics XiXi Campus Zhejiang University Hangzhou 310028 China

In this paper. a Kantorovitch- Ostrowski type convergence theorem and an error estimate of using the information of higher derivatives at the center between initial points for King-Werner iteration method in Banach ... 详细信息

关键词： Information at the center between initial points King-Werner iteration method Convergence Error estimate.

ON CONVERGENCE OF NOUREIN ITERATIONS FOR SIMULTANEOUS FINDING ALL ZEROS OF A POLYNOMIAL

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Journal of Computational mathematics 2000年第2期18卷 113-122页

作者： Shi-mingZheng Zheng-da Huang (department of mathematics, Xixi Campus, zhejiang university, hangzhou 310028, china) 浙江大学浙江杭州 310028

Presents the first estimation conditions for Nourein iterations for simultaneous finding all zeros of a polynomial under which the iteration processes are guaranteed to converge. Computational formulas; Theorems and p... 详细信息

关键词： polynomial zeros parallel iteration Nourein iterations point estimation convergence

SOME FUNCTIONAL LIMIT THEOREMS FOR THE INFINITE SERIES OF OU PROCESSES

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Chinese Annals of mathematics,Series B 2003年第2期24卷 249-260页

作者： WANG WENSHENG LIN ZHENGYAN department of mathematics, zhejiang university, hangzhou 310028, china. department of mathematics, hangzhou Teacher’s College, hangzhou 310012, china. E-mail: wswang@*** department of mathematics, zhejiang university, hangzhou 310028, china. department of mathematics Zhejiang University Hangzhou 310028 China department of mathematics Hangzhou Teacher's College Hangzhou 310012 China

This paper obtains functional modulus of continuity and Strassen's functional LIL of theinfinite series of independent Ornstein-Uhlenbeck processes, which also imply the Levy's exactmodulus of continuity and LIL of th... 详细信息

关键词： Ornstein-Uhlenbeck processes Stationary Gaussian processes Modulus of continuity Law of the iterated logarithm