Some inequalities for diophantine approximation by continued fractions
1990 ◽
Vol 41
(2)
◽
pp. 249-253
Keyword(s):
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).
1991 ◽
Vol 51
(2)
◽
pp. 324-330
◽
1988 ◽
Vol 31
(2)
◽
pp. 197-204
◽
1991 ◽
Vol 50
(3)
◽
pp. 481-504
◽
2020 ◽
Vol 102
(2)
◽
pp. 196-206
2009 ◽
Vol 29
(5)
◽
pp. 1451-1478
◽
2002 ◽
Vol 45
(3)
◽
pp. 653-671
◽