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The Hausdorff dimension of graph of a class of Weierstrass functions
Sun, DC; Wen, ZY
1996-10-01
Source PublicationPROGRESS IN NATURAL SCIENCE
ISSN1002-0071
Volume6Issue:5Pages:547-553
AbstractConsider the following type of Weierstrass functions f(x) = Sigma(j greater than or equal to 1)lambda(j)(s-2)cos(lambda,x), 1 < s < 2, where x is an element of I = [0, 2 pi], lambda(j) up arrow infinity. Determine the Hausdorff dimension of graph of the above functions under some weak conditions, which generalizes some known results.
KeywordWeierstrass function Hausdorff dimension fractal
Language英语
WOS Research AreaMaterials Science ; Science & Technology - Other Topics
WOS SubjectMaterials Science, Multidisciplinary ; Multidisciplinary Sciences
WOS IDWOS:A1996VL70500004
PublisherTAYLOR & FRANCIS LTD
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/28815
Collection中国科学院数学与系统科学研究院
Affiliation1.CHINESE ACAD SCI,INST APPL MATH,BEIJING 100080,PEOPLES R CHINA
2.WUHAN UNIV,DEPT MATH,WUHAN 430072,PEOPLES R CHINA
Recommended Citation
GB/T 7714
Sun, DC,Wen, ZY. The Hausdorff dimension of graph of a class of Weierstrass functions[J]. PROGRESS IN NATURAL SCIENCE,1996,6(5):547-553.
APA Sun, DC,&Wen, ZY.(1996).The Hausdorff dimension of graph of a class of Weierstrass functions.PROGRESS IN NATURAL SCIENCE,6(5),547-553.
MLA Sun, DC,et al."The Hausdorff dimension of graph of a class of Weierstrass functions".PROGRESS IN NATURAL SCIENCE 6.5(1996):547-553.
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