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In this paper, the definition of unbounded variation point is introduced firstly. Then, we construct a continuous function containing uncountable unbounded variation points on the basis of Devil stair function.… Click to show full abstract
In this paper, the definition of unbounded variation point is introduced firstly. Then, we construct a continuous function containing uncountable unbounded variation points on the basis of Devil stair function. Finally, a mass of meaningful properties have been proved, such as Box dimension of continuous function constructed in the paper is 1 and the continuous function has infinite length on [0,1].
Keywords:
construction analysis;
one dimensional;
analysis special;
function;
continuous function;
special one
Journal Title: Fractals
Year Published: 2017
Link to full text (if available)
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Journal Title: Fractals
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!