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Irrationality measures for almost periodic continued fractions
-
Silvia Dodulíková
,
Jaroslav Hančl
Published/Copyright:
January 8, 2016
Abstract
We give general results which provide asymptotic irrationality measures
and estimations for the denominators of the convergents
for certain almost periodic simple continued fraction expansions.
As an application we obtain new irrationality measures, for example, to Napier's constant
e, certain powers of e,
Funding source: European Regional Development Fund
Award Identifier / Grant number: CZ.1.05/1.1.00/02.0070
Funding source: Marie Curie IRSES project LIE-DIFF-GEOM
Award Identifier / Grant number: P201/12/2351
Funding source: Academy of Finland
Award Identifier / Grant number: 317721
Received: 2014-4-2
Accepted: 2014-10-8
Published Online: 2016-1-8
Published in Print: 2016-3-1
© 2016 by De Gruyter
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Articles in the same Issue
- Frontmatter
- The annihilating-ideal graph of a lattice
- On derivations and commutativity of prime rings with involution
- On the traces of certain classes of permuting mappings in rings
- Measurability properties of certain paradoxical subsets of the real line
- Some classical Tauberian theorems for (C,1,1,1) summable triple sequences
- Approximation by trigonometric polynomials in the framework of variable exponent grand Lebesgue spaces
- Irrationality measures for almost periodic continued fractions
- Elementary volume and measurability properties of additive functions
- On (n+1)-Hom-Lie algebras induced by n-Hom-Lie algebras
- Generalization of Hermite–Hadamard type inequalities for n-times differentiable functions through preinvexity
- Nonlinear iterative algorithms for quasi contraction mapping in modular space
- n-dimensional quintic and sextic functional equations and their stabilities in Felbin type spaces
- Some remarks on quasi-Frobenius rings
