کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5775060 | 1413574 | 2017 | 5 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Lower bound on the Hausdorff dimension of a set of complex continued fractions
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Lower bound on the Hausdorff dimension of a set of complex continued fractions Lower bound on the Hausdorff dimension of a set of complex continued fractions](/preview/png/5775060.png)
چکیده انگلیسی
Let J be the set of all infinite complex continued fractions with partial numerators equal to one and partial denominators b1,b2,â¦, where each bk is a complex number of the form m+ni with m being a positive integer and n being any integer. In this paper we give an algorithm to determine lower bounds for the Hausdorff dimension of J. We show that the Hausdorff dimension of J is greater than 1.825, which is the best known lower bound, to the best of our knowledge. The ideas used to obtain this improved bound is different from those used by other authors and could be applied to estimate Hausdorff dimensions of other sets as well.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 449, Issue 1, 1 May 2017, Pages 91-95
Journal: Journal of Mathematical Analysis and Applications - Volume 449, Issue 1, 1 May 2017, Pages 91-95
نویسندگان
Amit Priyadarshi,