CONTINUED FRACTIONS, INTERMEDIATE FRACTIONS AND THEIR RELATION TO THE BEST APPROXIMATIONS-Reference-Cited by-同舟云学术

CONTINUED FRACTIONS, INTERMEDIATE FRACTIONS AND THEIR RELATION TO THE BEST APPROXIMATIONS

Published:2020-09-30 Issue:3 Volume:20 Page:545-560
ISSN:2068-3049
Container-title:Journal of Science and Arts
language:en
Short-container-title:J. Sci. Arts

Author:

MILINKOVIC LUKA¹,MALESEVIC BRANKO¹,BANJAC BOJAN²

Affiliation:

1. University of Belgrade, Faculty of Electrical Engineering, 11000 Belgrade, Serbia

2. University of Novi Sad, Faculty of Technical Sciences, 21000 Novi Sad, Serbia

Abstract

The subject of this paper is the current state of art in theory of continued fractions, intermediate fractions and their relation to the best rational approximations of the first and second kind. The paper provides an overview of the some well known and even some new properties of continued fractions, and the various terms associated with them. In addition to intermediate fractions, paper considers the fine intermediate fractions and gave some statements to position these fractions in the continued fraction representation of numbers.

Publisher

Valahia University of Targoviste - Journal of Science and Arts

Reference18 articles.

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