Metric properties of Denjoy's canonical continued fraction expansion are studied, and the natural extension of the underlying ergodic system is given. This natural extension is used to give simple proofs of results on mediant convergents obtained by W. Bosma in 1990
For a given irrational x, the Gauss map, T( x) = 〈1/x〉, provides an infinite sequence of rational ap...
AbstractWe introduce a class of continued fraction expansions called Oppenheim continued fraction (O...
The N-continued fraction expansion is a generalization of the regular continued fraction expansion, ...
Metric properties of Denjoy's canonical continued fraction expansion are studied, and the natural ex...
Metric properties of Denjoy's canonical continued fraction expansion are studied, and the natural ex...
AbstractThe ergodic system underlying the optimal continued fraction algorithm is introduced and stu...
A new continued fraction expansion algorithm, the so-called -expansion, is introduced and some of it...
AbstractFor certain random variables X1,X2,… which can be expressed by means of the natural extensio...
AbstractIn 2002, Hartono, Kraaikamp and Schweiger introduced the Engel continued fractions (ECF), wh...
AbstractThe α-continued fraction is a modification of the nearest integer continued fractions taking...
AbstractRecently the author introduced a new class of continued fraction expansions, the S-expansion...
SIGLEAvailable from British Library Document Supply Centre-DSC:DXN038112 / BLDSC - British Library D...
For a given irrational x, the Gauss map, T( x) = 〈1/x〉, provides an infinite sequence of rational ap...
For a given irrational x, the Gauss map, T( x) = 〈1/x〉, provides an infinite sequence of rational ap...
In this paper we consider continued fraction (CF) expansions on intervals different from [0,1]. For ...
For a given irrational x, the Gauss map, T( x) = 〈1/x〉, provides an infinite sequence of rational ap...
AbstractWe introduce a class of continued fraction expansions called Oppenheim continued fraction (O...
The N-continued fraction expansion is a generalization of the regular continued fraction expansion, ...
Metric properties of Denjoy's canonical continued fraction expansion are studied, and the natural ex...
Metric properties of Denjoy's canonical continued fraction expansion are studied, and the natural ex...
AbstractThe ergodic system underlying the optimal continued fraction algorithm is introduced and stu...
A new continued fraction expansion algorithm, the so-called -expansion, is introduced and some of it...
AbstractFor certain random variables X1,X2,… which can be expressed by means of the natural extensio...
AbstractIn 2002, Hartono, Kraaikamp and Schweiger introduced the Engel continued fractions (ECF), wh...
AbstractThe α-continued fraction is a modification of the nearest integer continued fractions taking...
AbstractRecently the author introduced a new class of continued fraction expansions, the S-expansion...
SIGLEAvailable from British Library Document Supply Centre-DSC:DXN038112 / BLDSC - British Library D...
For a given irrational x, the Gauss map, T( x) = 〈1/x〉, provides an infinite sequence of rational ap...
For a given irrational x, the Gauss map, T( x) = 〈1/x〉, provides an infinite sequence of rational ap...
In this paper we consider continued fraction (CF) expansions on intervals different from [0,1]. For ...
For a given irrational x, the Gauss map, T( x) = 〈1/x〉, provides an infinite sequence of rational ap...
AbstractWe introduce a class of continued fraction expansions called Oppenheim continued fraction (O...
The N-continued fraction expansion is a generalization of the regular continued fraction expansion, ...
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