SOME INEQUALITIES FOR DIOPHANTINE APPROXIMATION BY CONTINUED FRACTIONS

被引：1

作者：

TONG, JC ^{[1
]}

机构：

[1] UNIV N FLORIDA,DEPT MATH & STAT,JACKSONVILLE,FL 32216

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 1990年 / 41卷 / 02期

关键词：

D O I：

10.1017/S0004972700018074

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let ξ be an irrational number with simple continued fraction expansion ξ = [a0;a1,a2,…,an,…], let pn/qn be its nth convergent and let θn = qn|qnξ − pn|. In this paper a general method is introduced to deduce a series of inequalities involving the triple (θn−1, θn, θn+1). © 1990, Australian Mathematical Society. All rights reserved.

引用

页码：249 / 253

页数：5

共 10 条

[1] ON THE APPROXIMATION OF IRRATIONAL NUMBERS BY THE CONVERGENTS OF THEIR CONTINUED FRACTIONS .2. [J].