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《Mathematica Applicata》 2006-04
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A Note about the Estimates of Holder Exponents for Fractal Interpolation Function

DENG Xiao-yan1,LI He-long2(1.College of Basic Sciences,Huazhong Agriculture University,Wuhan 430070,China;2.School of Economic Business,South China University of Technology,Guangzhou 510006,China)  
Considering a fractal interpolation functions (FIFs) based on irregular partition,we obtain the estimates of Holder exponent by utilizing its expression with symbol series.The estimates obtained in this paper improve on the existing results.
【Fund】: 广东省自然科学基金资助项目(04009794)
【CateGory Index】: O174.42
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【Citations】
Chinese Journal Full-text Database 5 Hits
1 DENG Xiao-yan,LONG Guang-qing(Department of Scientific Computing and Computer Application,Sun Yat-sen University,Guangzhou 510275,China);Construction of Orthogonal Multiresolution Analysis Using Quadratic Fractal Interpolation Functions[J];中山大学学报(自然科学版);2005-06
2 ZHANG Bin, WANG Wei wei, SONG Guo xiang (School of Science, Xidian Univ., Xi'an 710071);A New Method for Constructing Scale Functions of Multiwavelets with Fractal Interpolation Functions[J];工程数学学报;2002-01
3 Lu Jianzhu (Department of Computer Science, Jinan University, Guangzhou, 510632);THE SMOOTHNESS OF FRACTAL FUNCTIONS AND ITS HLDER EXPONENTS[J];计算数学;2000-02
4 Lu Jianzhu\ Li Yuesheng;Construction of Orthogonal Multiresolution Analysis Using FIF[J];中山大学学报(自然科学版);1998-06
5 Sha Zhen Zhejiane University,China;HOLDER PROPERTY OF FRACTAL INTERPOLATION FUNCTION[J];Approximation Theory and Its Applications;1992-04
【Co-citations】
Chinese Journal Full-text Database 9 Hits
1 YU Yue1,FENG Zhi-gang2(1.School of Sciences,Nantong University,Nantong Jiangsu 226007,China;2.Research Center of Nonlinear Sciences,Jiangsu University,Zhenjiang Jiangsu 212013,China);Research on Definition and Calculation of Fractal Spline Interpolation Function[J];工程图学学报;2008-04
2 WANG Hong-yong~1,CAO Fei-long~2(1.Dept.of Appl.Math.,Nanjing Univ.of Finance & Economics,Nanjing 210003,China;2.Dept.of Math.,China Jiliang Univ.,Hangzhou 310018,China);Moments and perturbation error estimates for fractal interpolation functions[J];高校应用数学学报A辑;2007-02
3 DENG Xiao-yan1,LI He-long2(1.College of Basic Sciences,Huazhong Agriculture University,Wuhan 430070,China;2.School of Economic Business,South China University of Technology,Guangzhou 510006,China);A Note about the Estimates of Holder Exponents for Fractal Interpolation Function[J];应用数学;2006-04
4 KE Yun-quan(Department of Mathematics,Shaoxing college of Arts and Sciences,Shaoxing 312000,China);Differentiability of a class of fractal interpolation functions[J];纯粹数学与应用数学;2005-04
5 DENG Xiao-yan,LONG Guang-qing(Department of Scientific Computing and Computer Application,Sun Yat-sen University,Guangzhou 510275,China);Construction of Orthogonal Multiresolution Analysis Using Quadratic Fractal Interpolation Functions[J];中山大学学报(自然科学版);2005-06
6 KE Yun-quan(Dept. of Math., Shaoxing College of Arts and Sciences, Shaoxing 31200, China);THE DIFFERENTIABILITY OF A CLASS OF FRACTAL INTERPOLATION FUNCTIONS[J];数学杂志;2005-03
7 LI Chang-xingDepartment of Applied Mathematics and Physics, Xi'an Institute of Posts and Telecommunications, Xi'an 710061, P.R. China;The Fusion of Image Based on OPTFR-Multiwavelets[J];The Journal of China Universities of Posts and Telecommunications;2005-01
8 Zhang Bin Wang Jun-feng Song Guo-xiang (School of Science, Xidian University, Xi'an 710071, China);Using TST Constructing Biorthogonal Low Pass Multi-filters with Higher Approximation Order[J];电子与信息学报;2003-12
9 Lu Jianzhu (Department of Computer Science, Jinan University, Guangzhou, 510632);THE SMOOTHNESS OF FRACTAL FUNCTIONS AND ITS HLDER EXPONENTS[J];计算数学;2000-02
【Secondary Citations】
Chinese Journal Full-text Database 4 Hits
1 ZHANG Bin, WANG Wei wei, SONG Guo xiang (School of Science, Xidian Univ., Xi'an 710071);A New Method for Constructing Scale Functions of Multiwavelets with Fractal Interpolation Functions[J];工程数学学报;2002-01
2 Zhu Chunxi,Xu Changfa,Cai Chao,Pi Minghong (Mathematics Department, Huazhong University of Science and Technology, Wuhan 430074);CONSTRUCTION OF SYMMETRY AND ANTI-SYMMETRY MULTISCALING FUNCTIONS[J];高等学校计算数学学报;2000-04
3 Lu Jianzhu\ Li Yuesheng;Construction of Orthogonal Multiresolution Analysis Using FIF[J];中山大学学报(自然科学版);1998-06
4 Sha Zhen Zhejiane University,China;HOLDER PROPERTY OF FRACTAL INTERPOLATION FUNCTION[J];Approximation Theory and Its Applications;1992-04
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