检索结果-南通市图书馆

On the Divergence of N(?)rlund Logarithmic Means of walsh-Fourier Series

在线全文

同方期刊数据库

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 2009年第6期25卷 903-916页

作者： Gyrgy GAT Ushangi GOGINAVA Institute of Mathematics and Computer Science College of Nyíregyháza Department of Mechanics and Mathematics Tbilisi State University

It is well known in the literature that the logarithmic means 1/logn ^n-1∑k=1 Sk（f）/k of walsh or trigonometric Fourier series converge a.e. to the function for each integrable function on the unit interval. This is not the case if we take the partial sums. In this paper we prove that the behavior of the so-called NSrlund logarithmic means 1/logn ^n-1∑k=1 Sk（f）/n-k is closer to the properties of partial sums in this point of view.

关键词： walsh function Norlund logarithmic means a.e. divergence.

THE HARDY TYPE INEQUALITY FOR THE MAXIMAL OPERATOR OF THE ONE-DIMENSIONAL DYADIC DERIVATIVE

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 2011年第4期31卷 1489-1493页

作者： Ushangi Goginava Institute of Mathematics Faculty of Exact and Natural Sciences Tbilisi State University

In this paper we prove that the maximal operator I of dyadic derivative is not bounded from the Hardy space H p [0, 1] to the Hardy space H p [0, 1], when 0 〈 p ≤ 1.

关键词： walsh function Hardy space dyadic derivative

Universal optimality of digital nets and lattice designs

在线全文

学校读者我要写书评

暂无评论

Science China Mathematics 2009年第11期52卷 2309-2320页

作者： HICKERNELL Fred J Department of Applied Mathematics Illinois Institute of Technology

This article considers universal optimality of digital nets and lattice designs in a regression model. Based on the equivalence theorem for matrix means and majorization theory,the necessary and sufficient conditions for lattice designs being φp-and universally optimal in trigonometric function and Chebyshev polynomial regression models are obtained. It is shown that digital nets are universally optimal for both complete and incomplete walsh function regression models under some specified conditions,and are also universally optimal for complete Haar wavelet regression models but may not for incomplete Haar wavelet regression models.

关键词： Chebyshev polynomial Haar wavelet Trigonometric function walsh function 62K15 62K10

A NOTE ON THE walsh-FEJR MEANS

在线全文

学校读者我要写书评

暂无评论

Analysis in Theory and Applications 2010年第4期26卷 320-325页

作者： Ushahgi Goginava Graduate Tbilisi State

The main aim of this paper is to prove that the maximal operator σ# is not bounded from the martingale Hardy space Hp （G） to the martingale Hardy space Hp （G） for 0〈p≤1.

关键词： walsh function Hardy space Fejer means

ADAPTIVE ERROR-LIMITING METHOD SUITABLE FOR THE walsh CODE SHUTTING MULTIPLEXING IN THE MINE MONITOR SYSTEM

在线全文

学校读者我要写书评

暂无评论

Journal of China University of Mining and Technology 1996年第1期6卷 35-41页

作者：朱李平

Through the analysis for the process of walsh modulation and demodula tion,the adaptive error-limiting method suitable for the walsh code shutting multiplex ing in the mine monitor system is advanced in this article. It is proved by theoretical analysis and circuit experiments that this method is easy to carry out and can not only improve the quality of information transmission but also meet the requirement of the system patrol test time without the increasement of system investment.

关键词： error-correcting monitor system walsh function