Sharpening of theorems of Vahlen and Hurwitz and approximation properties of the golden ratio

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F15%3AA160168L" target="_blank" >RIV/61988987:17310/15:A160168L - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Sharpening of theorems of Vahlen and Hurwitz and approximation properties of the golden ratio

Original language description

We give a general method which yields a very good approximation for every periodic continued fraction. As an example we obtain a new irrationality measure for the golden ratio and other numbers. We also improve the well-known theorem of Hurwitz from Diophantine approximation theory.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Publication year

2015

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

ARCH MATH

ISSN

0003-889X

e-ISSN

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Volume of the periodical

105

Issue of the periodical within the volume

2

Country of publishing house

CH - SWITZERLAND

Number of pages

8

Pages from-to

129-137

UT code for WoS article

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EID of the result in the Scopus database

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