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THE fourier series EXPANSIONS OF FUNCTIONS DEFINED ON S-SETS

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Chinese Annals of Mathematics,series B 1997年第2期18卷 201-212页

作者： LIANG JINRONG LI WANSHE SU FENG REN FUYAO Institute of Mathematics Fudan UniversityShanghai 200433China

Let E be a compact s-sets of R *** authors define an orthonormal systemΦof functions on E and obtain that,for any f(x)∈L 1(E,H s),the fourier series of f,with respect toΦ,is equal to f(x)at H s a.e.x∈***,for any f... 详细信息

关键词： Hausdorff measure fourier series s-set Generalized graph directed construction

On Some Diophantine fourier series

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Acta Mathematica Sinica,English series 2010年第6期26卷 1125-1132页

作者： Hal Long LI Jing MA Wen Peng ZHANG Department of Mathematics Weinan Teachers University Weinan 714000 P. R. China Department of Mathematics Jilin University Changchun 130012 P. R. China Department of Mathematics Northwest University Xi'an 710069 P. R. China

We continue our study on arithmetical fourier series by considering two fourier series which are related to Diophantine analysis. The first one was studied by Hardy and Littlewood in connection with the classification... 详细信息

关键词： Diophantine fourier series Diophantine Dirichlet series Riesz sum

Monte Carlo forecasting of time series data using Polynomial-fourier series model

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International Journal of Modeling, Simulation, and Scientific Computing 2021年第3期12卷 112-124页

作者： Salim Jibrin Danbatta Asaf Varol Software Engineering Department Firat University Elazig CenterElazigTurkey Computer Engineering Department Maltepe University College of Engineering and Natural Sciences Maltepe University34857 Maltepe/IstanbulTurkey

The perishable nature of tourism products and services makes forecasting an important tool for tourism planning,especially in the current COVID-19 pandemic *** forecast assists tourism organizations in decision-making regarding resource allocations to avoid *** study is motivated by the need to model periodic time series with linear and nonlinear trends.A hybrid Polynomial-fourier series model that uses the combination of polynomial and fourier fittings to capture and forecast time series data was *** proposed model is applied to monthly foreign visitors to Turkey from January 2014 to August 2020 dataset and diagnostic checks show that the proposed model produces a statistically good *** improve the model forecast,a Monte Carlo simulation scheme with 100 simulation paths is applied to the model *** mean of the 100 simulation paths within±2σbounds from the model curve was taken and found to give statistically acceptable results.

关键词： Time series forecasting Monte Carlo fourier series polynomial COVID-19.

Analyzing China’s OFDI using a novel multivariate grey prediction model with fourier series

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International Journal of Intelligent Computing and Cybernetics 2019年第3期12卷 352-371页

作者： Hang Jiang Yi-Chung Hu Jan-Yan Li Peng Jiang School of Business Administration Jimei UniversityXiamenChina Department of Business Administration Chung Yuan Christian UniversityChungliTaiwan School of Business Shandong UniversityWeihaiChina

Purpose–With the development of economy,China’s OFDI constantly increase in recent ***,OFDI hasspillovereffe***,accurateOFDI prediction is a prerequisite for the effective development of international investment *** purpose of this paper is to predict China’s OFDI accurately using a novel multivariable grey prediction model with fourier ***/methodology/approach–This paper applied a multivariable grey prediction model,GM(1,N),to forecast China’s *** order to improve the prediction accuracy and without changing local characteristics of grey model prediction,this paper proposed a novel grey prediction model to improve the performance of the traditionalGM(1,N)modelbycombiningwithresidualmodificationmodelusingGM(1,1)***–The coefficients indicate that the export and GDP have positive influence on China’s OFDI,and,according to the prediction result,China’s OFDI shows a growing trend in next five ***/value–This paper proposed an effective multivariable grey prediction model that combined the traditionalGM(1,N)modelwitharesidualmodificationmodelinordertopredictChina’*** of OFDI provides reference for the Chinese Government to implement international investment strategies.

关键词： OFDI fourier series Grey prediction Residual modification GM(1,N)

UNIFORM CONVERGENCE OF CES■RO MEANS OF NEGATIVE ORDER OF DOUBLE TRIGONOMETRIC fourier series

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Analysis in Theory and Applications 2007年第3期23卷 255-265页

作者： U.Goginava Tbilisi State University Georgia

In this paper we prove that if f ∈ C （[-π, π]^2） and the function f is bounded partial p-variation for some p ∈[1, ＋∞）, then the double trigonometric fourier series of a function f is uniformly （C;-α,-β） summable （α＋β 〈 1/p,α,β 〉 0） in the sense of Pringsheim. If α ＋ β ≥ 1/p, then there exists a continuous function f0 of bounded partial p-variation on [-π,π]^2 such that the Cesàro （C;-α,-β） means σn,m^-α,-β（f0;0,0） of the double trigonometric fourier series of f0 diverge over cubes.

关键词： fourier series bounded variation. Cesàro means

A PRELIMINARY STUDY OF fourier series ANALYSIS ON CLOUD TRACKING WITH GOES HIGH TEMPORAL RESOLUTION IMAGES

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Acta meteorologica Sinica 2000年第1期14卷 82-95页

作者：王振会周军 Nanjing Institute of Meteorology Nanjing 210044

fourier series analysis is proposed as a new technique to address the problem of“sub-pixel motion”in deriving cloud motion winds(CMW)from high temporal resolution *** on a concept different from that of maximum correlation matching technique,the fourier technique computes phase speed as an estimate of cloud *** is very effective for tracking small cellular clouds in 1-min interval images and more efficient for computation than the maximum correlation technique because only two templates in same size are involved in primary tracking procedure. Moreover it obtains not only CMW vectors but potentially also velocity spectrum and variance.A practical example is given to show the cloud motion winds from 1-min interval images with the fourier method versus those from traditional 30-min interval images with maximum correlation *** that require further investigation before the fourier technique can be regarded as a viable technique,especially for cloud tracking with high temporal resolution images,are also revealed.

关键词： fourier series cloud motion winds(CMW) GOES high temporal resolution images

ASYMPTOTIC BEHAVIOR OF ECKHOFF'S METHOD FOR fourier series CONVERGENCE ACCELERATION

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Analysis in Theory and Applications 2007年第3期23卷 228-242页

作者： A.Barkhudaryan R.Barkhudaryan A.Poghosyan National Academy of Sciences of Armenia Institute of MathematicsYerevan

The current paper considers the problem of recovering a function using a limited number of its fourier coefficients. Specifically, a method based on Bernoulli-like polynomials suggested and developed by Krylov, Lanczos, Gottlieb and Eckhoff is examined. Asymptotic behavior of approximate calculation of the so-called ＂jumps＂ is studied and asymptotic L2 constants of the rate of convergence of the method are computed.

关键词： fourier series convergence acceleration Bemoulli polynomials

THE fourier series EXPANSIONS OF FUNCTIONS DEFINED ON S-SETS

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Chinese Annals of Mathematics,series B 1997年第2期 64-75页

作者： LIANG JINRONG * LI WANSHE * SU FENG * REN FUYAO *

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关键词： Hausdorff measure fourier series s set Generalized graph directed construction

APPROXIMATION OF CONVEX TYPE FUNCTION BY PARTIAL SUMS OF fourier series

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Applied Mathematics(A Journal of Chinese Universities) 2004年第1期19卷 67-76页

作者： YuGuohua NingboUniv Zhejiang315211China

The concept of convex type function is introduced in this paper,from which a kin d of convex decomposition approach is *** one of applications of this a pproach,the approximation of the convex type function by the partial sum of its fourier series is inves ***,the order of approximation is describe d with the 2th continuous modulus.

关键词： fourier series convex type function convex decomposition Riemann deriv ative continuous modulus approximation.